{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-16T00:12:35.000Z","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":"2026-04-16T00:00:00.000Z","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":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\" width=\"269\" 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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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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 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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=\"227\" style=\"vertical-align: baseline;width: 269px;height: 227px\" 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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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