{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":50462,"title":"Calculate quadrilateral Area: sides and diagonals given","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; 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transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate quadrilateral Area: sides (a,b, c, d) and diagonals (e, f) are given\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 232px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 116px; text-align: left; transform-origin: 384px 116px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e                                 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\" 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9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e Round the answer to four decimal places.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eHint: use Bretschneider's formula\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = AreaQuadrilateral(a,b,c,d,e,f)\r\n\r\nend","test_suite":"%%\r\na = 4; b = 4; c = 4; d = 4; \r\ne = 4*sqrt(2); f = 4*sqrt(2);\r\n\r\ny_correct = 16;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,e,f),y_correct))\r\n\r\n%%\r\na = 3; b = 3; c = 3; d = 3; \r\ne = 3*sqrt(3); f = 3;\r\n\r\ny_correct = 7.7942;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,e,f),y_correct))\r\n\r\n%%\r\na = 5; b = 5; c = 8; d = 8;\r\ne = 4+sqrt(55); f = 6;\r\n\r\ny_correct = 34.2486;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,e,f),y_correct))\r\n\r\n%%\r\na = 97.7; b = 76.6; c = 110; d = 66.5; \r\ne = 151.7; f = 91.6;\r\n\r\ny_correct = 6341.4175;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,e,f),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":487522,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":20,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-02-18T20:12:44.000Z","updated_at":"2026-03-04T22:07:29.000Z","published_at":"2021-02-18T20:25:42.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate quadrilateral Area: sides (a,b, c, d) and diagonals (e, f) are given\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                                \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"226\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"269\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e Round the answer to four decimal places.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHint: use Bretschneider's 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of a quadrilateral","description":"There are four cars starting at a point.  The first car points north, the second one points east, the third one points south, and the last one points west.  Each car moves in its respective direction at a particular speed: n km/h to the north, e km/h to the east, s km/h to the south, and w km/h to the west.  After t hours, the position of the cars can be viewed as a quadrilateral from space.  Determine the perimeter of this quadrilateral given the values of n, e, s, w, and t.","description_html":"\u003cp\u003eThere are four cars starting at a point.  The first car points north, the second one points east, the third one points south, and the last one points west.  Each car moves in its respective direction at a particular speed: n km/h to the north, e km/h to the east, s km/h to the south, and w km/h to the west.  After t hours, the position of the cars can be viewed as a quadrilateral from space.  Determine the perimeter of this quadrilateral given the values of n, e, s, w, and t.\u003c/p\u003e","function_template":"function p = total_distance(n,e,s,w,t)\r\n  p = sqrt(n*e*s*t);\r\nend","test_suite":"%%\r\nn=10;\r\ne=10;\r\ns=10;\r\nw=10;\r\nt=2;\r\ny_correct=113.1371;\r\nassert(abs(total_distance(n,e,s,w,t)-y_correct)\u003c1e-4)\r\n%%\r\nn=15;\r\ne=7;\r\ns=3;\r\nw=15;\r\nt=1.5;\r\ny_correct=91.0185;\r\nassert(abs(total_distance(n,e,s,w,t)-y_correct)\u003c1e-4)\r\n%%\r\nn=11;\r\ne=21;\r\ns=31;\r\nw=41;\r\nt=1.7;\r\ny_correct=263.5003;\r\nassert(abs(total_distance(n,e,s,w,t)-y_correct)\u003c1e-4)\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":59,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2018-02-16T18:58:53.000Z","updated_at":"2026-02-18T15:09:46.000Z","published_at":"2018-02-16T18:58:53.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThere are four cars starting at a point. The first car points north, the second one points east, the third one points south, and the last one points west. Each car moves in its respective direction at a particular speed: n km/h to the north, e km/h to the east, s km/h to the south, and w km/h to the west. After t hours, the position of the cars can be viewed as a quadrilateral from space. Determine the perimeter of this quadrilateral given the values of n, e, s, w, and t.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":50464,"title":"Calculate convex quadrilateral Area: sides and an angle given","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 353px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 176.5px; transform-origin: 407px 176.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate convex quadrilateral Area: sides and an angle [degree] are given as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 233px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 116.5px; text-align: left; transform-origin: 384px 116.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e                                                              \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eRound the answer to four decimal places\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = AreaQuadrilateral(a,b,c,d,alpha)\r\n\r\nend","test_suite":"%%\r\na = 4; b = 4; c = 4; d = 4; alpha = 90;\r\n\r\ny_correct = 16;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,alpha),y_correct))\r\n\r\n%%\r\na = 3; b = 3; c = 3; d = 3; alpha = 60;\r\n\r\ny_correct = 7.7942;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,alpha),y_correct))\r\n\r\n%%\r\na = 5; b = 5; c = 8; d = 8; alpha = 73.7399;\r\n\r\ny_correct = 34.2486;\r\n\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,alpha),y_correct))\r\n\r\n%%\r\na = 97.7; b = 76.6; c = 110; d = 66.5; alpha = 61.96;\r\n\r\ny_correct = 6340.8532;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,alpha),y_correct))\r\n\r\n%%\r\na = 17.4; b = 11.32; c = 20.24; d = 8.18; alpha = 68;\r\n\r\ny_correct = 158.5361;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,alpha),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":487522,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-02-18T21:49:34.000Z","updated_at":"2021-02-18T21:51:44.000Z","published_at":"2021-02-18T21:51:44.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate convex quadrilateral Area: sides and an angle [degree] are given as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                                              \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"227\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"269\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eRound the answer to four decimal places\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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quadrilateral Area: sides and diagonals given","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 352px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 176px; transform-origin: 407px 176px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate quadrilateral Area: sides (a,b, c, d) and diagonals (e, f) are given\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 232px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 116px; text-align: left; transform-origin: 384px 116px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e                                                \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"269\" height=\"226\" style=\"vertical-align: baseline;width: 269px;height: 226px\" 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\" 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9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e Round the answer to four decimal places.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eHint: use Bretschneider's formula\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = AreaQuadrilateral(a,b,c,d,e,f)\r\n\r\nend","test_suite":"%%\r\na = 4; b = 4; c = 4; d = 4; \r\ne = 4*sqrt(2); f = 4*sqrt(2);\r\n\r\ny_correct = 16;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,e,f),y_correct))\r\n\r\n%%\r\na = 3; b = 3; c = 3; d = 3; \r\ne = 3*sqrt(3); f = 3;\r\n\r\ny_correct = 7.7942;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,e,f),y_correct))\r\n\r\n%%\r\na = 5; b = 5; c = 8; d = 8;\r\ne = 4+sqrt(55); f = 6;\r\n\r\ny_correct = 34.2486;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,e,f),y_correct))\r\n\r\n%%\r\na = 97.7; b = 76.6; c = 110; d = 66.5; \r\ne = 151.7; f = 91.6;\r\n\r\ny_correct = 6341.4175;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,e,f),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":487522,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":20,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-02-18T20:12:44.000Z","updated_at":"2026-03-04T22:07:29.000Z","published_at":"2021-02-18T20:25:42.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate quadrilateral Area: sides (a,b, c, d) and diagonals (e, f) are given\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                                \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"226\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"269\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e Round the answer to four decimal places.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHint: use Bretschneider's 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of a quadrilateral","description":"There are four cars starting at a point.  The first car points north, the second one points east, the third one points south, and the last one points west.  Each car moves in its respective direction at a particular speed: n km/h to the north, e km/h to the east, s km/h to the south, and w km/h to the west.  After t hours, the position of the cars can be viewed as a quadrilateral from space.  Determine the perimeter of this quadrilateral given the values of n, e, s, w, and t.","description_html":"\u003cp\u003eThere are four cars starting at a point.  The first car points north, the second one points east, the third one points south, and the last one points west.  Each car moves in its respective direction at a particular speed: n km/h to the north, e km/h to the east, s km/h to the south, and w km/h to the west.  After t hours, the position of the cars can be viewed as a quadrilateral from space.  Determine the perimeter of this quadrilateral given the values of n, e, s, w, and t.\u003c/p\u003e","function_template":"function p = total_distance(n,e,s,w,t)\r\n  p = sqrt(n*e*s*t);\r\nend","test_suite":"%%\r\nn=10;\r\ne=10;\r\ns=10;\r\nw=10;\r\nt=2;\r\ny_correct=113.1371;\r\nassert(abs(total_distance(n,e,s,w,t)-y_correct)\u003c1e-4)\r\n%%\r\nn=15;\r\ne=7;\r\ns=3;\r\nw=15;\r\nt=1.5;\r\ny_correct=91.0185;\r\nassert(abs(total_distance(n,e,s,w,t)-y_correct)\u003c1e-4)\r\n%%\r\nn=11;\r\ne=21;\r\ns=31;\r\nw=41;\r\nt=1.7;\r\ny_correct=263.5003;\r\nassert(abs(total_distance(n,e,s,w,t)-y_correct)\u003c1e-4)\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":59,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2018-02-16T18:58:53.000Z","updated_at":"2026-02-18T15:09:46.000Z","published_at":"2018-02-16T18:58:53.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThere are four cars starting at a point. The first car points north, the second one points east, the third one points south, and the last one points west. Each car moves in its respective direction at a particular speed: n km/h to the north, e km/h to the east, s km/h to the south, and w km/h to the west. After t hours, the position of the cars can be viewed as a quadrilateral from space. Determine the perimeter of this quadrilateral given the values of n, e, s, w, and t.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":50464,"title":"Calculate convex quadrilateral Area: sides and an angle given","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 353px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 176.5px; transform-origin: 407px 176.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate convex quadrilateral Area: sides and an angle [degree] are given as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 233px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 116.5px; text-align: left; transform-origin: 384px 116.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e                                                              \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" 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j8T9FsHJ6jQveVvegEUC0e+Z5pWJAvTUjYBWSrenAD0DuaxUt92BRYKTtWleAUdAk1oU3QXoKZ/mddX8FE2OgCb18Ezzupzi4J5qfOS4p3ndSG0Qt2qufyvfOzqjZlAexSCl07yoxreG/tXUF6Avmktvuuk02RP3NK9HqStApxrfQtwF6Gmb5hW46TTxQ8cZdwF6irYTt4lbNzUCmjRDaqd5hWk6TfyRzmleBXncXYVJWsRRdwH6aApy2SAjoEkQPNO8TqvPZWVJ9xYs0kp6VlybqZVP86IaHyudC9W5rO4CdIyAhkVajmea1wW1awZQ45sbAU1C4SlA1zrNi02nk6Bw0p3LaswBoMY3OQKahMczzWtEXS7LptPJoXuaV7ck2vMwSbwc9BSga/oXGnAENImK/e4C9Fk1dwIjoJdhkgTocBega5nmRTVeA8XJB+Y+CDoK0DEC+hJMkhSeaV5Xks9lqcbrQdc0r4JMJWTTaR0MXjG3AyQ7zQtqPOfqa8E9zetBggXobDqtDvc0rwje9ANTa6VSaXPteLtlta9vrPXifGOgxp+ASVTQOVvJZa/hVHCGNsp+IWweb18v/9KFTxoja/g5HgGtlA5nM3XYPKXLfmA8Z9P+Hz5qDEZAT8AkeiiO/Uv5zvx3yEKJXtsXyt4w1G712g8MmyV81hiq8Xo5KK1IV8M80bvEM9bNK2TAHJdKx81He3DA/OUcAa2RNiyAhRIw5EGxibjTGKVSn1iNoRqvF7k3T2+HeaKPiy84jwmxSrAa0ikZNLe5KgTrTU/CSFvt8jrZgAnXWIPVEKrxakGg8XQUdiCOiy84D40+McdhNqJD/no2ndZHG0qKw1VKYEGjHeaQmH5CDYyAphqvD2mQFC7QsHrFFSq56pzYjqc0gE2n1YIRzKECjcr7ZAgm0pV1WI04LX9/9ofJpY5+aCihAg3LWjKuUFkW7xJzCmYDOAJaK9EEGk6oUVkW9z5E6jMqfz9HQKsjkkCjjLhCJVfFOrkPbY1qvFKiCTR2vUAQlFYWOeozLBdwEibRQkSBxq5lDCiwczAbQDVeJ1EFGl7X8K+tHZILYNNpbUQVaFTeIOIaEOf9LHhRjdcJAo2tKNYhxRfMilfFM8yC1/FGWQqbTuvECTQi2WaAlGTI6hq3hXmxyueHSqUB+R21uGAugCOgleEEGtFo4ZDkDZsDeIgct9c31usvlrPptE4QaNyKJjmAJm9jF/M49X/lLKWBjHLeXMFOujplZx9IF1tRjeauRBhr9joXMpbSZqMkhSOgVXIIe5Oi28/YNbdRKm3MISvptUUVsxmlPtNyCQdhEhV0yBbTRF/zVONVgs5NEQUawcAI6CMwiQrQsSCyQCMIUOM5AloV0QcaAWDTaYVoCDQcNZ4joFWhIdDgCGiNaAg0LOuauYgHVOMVoSLQ4AhohegINJwR0FTjFYFA40ayT3Kq8fpAoPEoYUkLI6D3wSTJ4wQaw7ATgmq8OpxAI+npAbPmKth0WhFXzS1JOtBw1PiLMEnyQAVPOtBg02l1HNERaDhq/BWYJHH2YZxB4mOKOAJaG0oCDWcE9E1YJHG0BBpU47WhJdCwrJvmOjgCWgtqAg2q8dpQE2hYMoSF21y1oCbQoBqvDAQaO8kHGtZFcyVsOq0EJ9BQoIFjBPQsTJIwCDSuKai2Y9NpVSDQeKjgfuwTNX4RJkmWQQQaGqYhcgS0JjoxPUtDsV1R1HiOgFZBQar6VQQaVONVIY9wFYGGVZBMKfxgSBIBRxUFGlTjNaEp0GDTaU2oCjSoxmtCU6DBptOaUBVoWEfMxXAEtAZ0BRpsOq0HXYGGdVCuZhomSRAEGg+USFkcAa0GJ9BQ0mFvv1zOeZgkOZxAQ8sDnGq8FpxA4yrspMEI6AswSXLIXvSnD7R0sEDgQzU+cTDtTkugwabTatj/yNwJPZki1HiOgE6awg25E1oCDY6AVsO8uRF6Ag3rpFyQgr0OOUdboEE1XgvqAg3HV0MPGibhUBdoUI3XgrpAwxkBfRomSQh9gQbVeB3oCzSsHrkiNp1OFifQ0LTsKGr8E6rxyYJA476i+8Cm0ypwAg1NC9Kixu9QjU8UJ9DQ1PKGI6A1ULhl7oIufRMdHA7AJIkgj25VgQbVeBVgc5iqQMOakIviCOgk6ZaXuq7eelTjFaAy0LBOyEVxm2uSaAw0qMZrQGWgYR2Vq2LT6QRRGWg4I6DvU41PDp2BBptOK0BnoGFdMlf1iGp8ciDQ2FZWy88R0InjBBramposm6viCOjkcAKNVdhaoBqfOAg07rXB1oLUjux0wySxgwXHbW0tfKnGJ02PdCfQ1z2NTacTpihL0eoCDarxiSNZgL5Ag02nk2ZUboC6QMOyRI3nCOikUBtosOl0wqgNNCxL1lruwiJxozbQ4AjohNEbaGBG5EOq8cmgN9CgGp8sigMNZwS0vhddPkCgcUfh9w81niOgkwGBxpODsDUhgh+bTieDE2hozAGgxnMEdCI4gYZKXZMjoJNE2pmoDDSsNlHjNYbHOQDalcpAg2p8khxUHGg4I6AV9abMEW13zJevtICKanyCaA40LEv89hYsEieqAw2q8QmiOtCwLOlOyabTCaA70HDU+FMwSYzoDjTYdDo5dAcajhp/BiaJD+WBBkdAJ4YTaCzD1gZGQM/DJPGBQOO21lc51fikcAINrZpmh6jxHAEdO06goXaGGdX4hGiTDWFqAw2rKN3zuc01dlbNF6830KAanxTo9q020LAK980Fsul03PRLiOcz0Og6vrReKrOxNjXUhXOtBiOgj8IkMdFUoNG7ZLuFwxrOtho2nU6GZgKNKfgEmMLpFnNMrpAjoGOmiUCj3bxJSptD7e1z5mgAH7QYjoBOhCYCDcczeu1jc9guH7SYw3KFHAEdL80EGvKkKNmeYVm2m2yYo5ZDNT4Rmgg0+sQzEF+slQ/n5LDFHJBLPAuTxAMCjS0/KxobxjM243mJVEE1PgmcQMNPJS4eGvE8Kapg0+kkcAINX187FjQk0ogRqvFJgEDjlp+sUFKSuCLP57DpdPwUDp//L/Otb/nqAj8grhHTItdzzppr5Ajo2Dhw+rL9r9GoVv62/IyLa8S0yFWBTafjZP/YinzfT5/+bflF7jO+s5PVMnEJag6n5UIPwyQto2Nk8a582YaH1sg1n8vPshJaghUXHAEdC8XB+ZtSlv0c/3tOxDPiklod0FbsGEzSAg5NX8Mahgv/7TeTcQ2q8a3lwMQlTNdzsX397GH/YqashcbsGhgBfRImiZLOkytSPOfh1vxwc3IVwlBYVvvaEI5aiajxHAEdOW3HFqpjzgr3lk80L0igiAcOMbAZRx7LptOtoDg4syvmtHm4OhZszmGvuMZm2Te6huxHyHrrdTZR4zkCOkL6p69iy5GLJ1cmQ+yCxxvFIQbP4AjoaOmeWJXtPG52rs80EXPWor38DnnOUgza/AVz5dtU4yOgc/RCzZjz9vnhCNqp9GLVq8xGH861EqrxEdE2vIAO0m7uL49GNnl9aKn85Nhcm4pHmMcI6P0wSRAKR2au14o5H61OpHe2NtX40PRP1o45r55J9w7RM/JzKG0fpZ7usVVHRK1m58bMYNqXiajGB6djdBn1e27uLBxT2sKvKU7JT8Om003SNjxfO+ZcGc1IDSXU+BswiR8Kh89eryWibl2ayFDPGjadbpYDk5drxZzbV6cP4XdkBHko3oFFGrN/7GLNmPPm7GDmVAaOgPZNx8hyTRH17uJIFmLOXcgI6AdU4xtTPDp/03xTHh6sjGV13w7VeB8cnq4dc16eyPLODNk7xRHQdTkwYTaLeNm+Ph1SRNUO1fhGdI6tyAw6Dzfnj2a/smXR/Kjc5rqbtpHahXt3l0dyUbtANb4mxcHZ2oV7FwMW7qWQWfMTs+l0NYemr9aKOZ9cnszTbmCMgL4Ik/RMrNaOOcMW7qUONp2uonO09maR2/NRFO6ljIIs+XIEtF24h/lFbu4tj+azXpYjoG0KgzM3am8WOZWbmHMXkpzlegR0/5k6hXuTuX7L5l2N7z5Ve7PIjZkjeVeURC66Bytf7Btdrh1zLuQw5txFbtX4tuHztQv3LmSlcC8suWw6XTg8U1tETfNmkajJoRp/cPJK7Zhzmis71eSs6XS9zSI3Z7JXuBeSbknlczECuuNEncK9hWwW7oUkL02ni8Pzt8yP6uH+yknGnDXZJ7GY2mmzkVCoV7h3KdOFeyHJ/ghodHn2sn1tmk1zG1GUb+0SzKxR1eW5mp2b84w59yLDaryny3OFvBTuhQQjoK/BzAy1ujzbPFwZY1sZf0CNz9YI6MO1uzxvXT7NmNM/mWs6HUmXZ1JR40/ATDmRdXkmWRoBXa/L890gXZ6JdUS+vgmYaSXyLs8kE2p8S7o85x6MgJ6GmT66a28WCd/lOfekWo1vbZfnnNMp7+fzMFNEHF2ec0061fj6XZ5zvFkkYjokektV0+msdnlWhqjxT1OjxnefymyXZ2Wkqul0xrs8KwMjoPW3Ps1+l2dlpGMEdN0uz6tZ6vKsDIyAHoapkdx0eVaGcjW+O0ddnpUxLF+1yhHQeevyrAytanwOuzwr45B84cq2ueazy7My9KnxDbo843eQOOiR711L0+lcd3lWhoyAfqJBjW/jZhFNaGk6zS7P6jhvbkDCI6DZ5VkhyY+ArtvlmZtFkmVabkRCVbXs8qyXBNX4tmPs8qyZCbkdR2DGBbs8qycRNZ5dntNA7E2n63V5vs4uz8qIVY1nl+cUEV/TaXZ5ThnXzO1p9Qhou8tzrZiTXZ71EkfTaXZ5TiWXzF3aapmgyS7PaaWlI6Drd3nmZhH9LJt7tR39nmF2eU45rVHj624WYZfn9IAR0FEmCezynAmgxkc2AppdnjNDlE2n63Z5XmThXvqAGn8FZnDY5TlrRDMCml2eM4io8TdhBYFdnrNJSDWeXZ6zi+wlvQurKdpG2OU5wwRV49nlOfNckRvaXEygsctzb19f38D4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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eRound the answer to four decimal places\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = AreaQuadrilateral(a,b,c,d,alpha)\r\n\r\nend","test_suite":"%%\r\na = 4; b = 4; c = 4; d = 4; alpha = 90;\r\n\r\ny_correct = 16;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,alpha),y_correct))\r\n\r\n%%\r\na = 3; b = 3; c = 3; d = 3; alpha = 60;\r\n\r\ny_correct = 7.7942;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,alpha),y_correct))\r\n\r\n%%\r\na = 5; b = 5; c = 8; d = 8; alpha = 73.7399;\r\n\r\ny_correct = 34.2486;\r\n\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,alpha),y_correct))\r\n\r\n%%\r\na = 97.7; b = 76.6; c = 110; d = 66.5; alpha = 61.96;\r\n\r\ny_correct = 6340.8532;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,alpha),y_correct))\r\n\r\n%%\r\na = 17.4; b = 11.32; c = 20.24; d = 8.18; alpha = 68;\r\n\r\ny_correct = 158.5361;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,alpha),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":487522,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-02-18T21:49:34.000Z","updated_at":"2021-02-18T21:51:44.000Z","published_at":"2021-02-18T21:51:44.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate convex quadrilateral Area: sides and an angle [degree] are given as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                                              \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"227\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"269\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eRound the answer to four decimal places\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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