{"id":2934,"date":"2022-10-29T08:46:41","date_gmt":"2022-10-29T12:46:41","guid":{"rendered":"https:\/\/josmfs.net\/?p=2934"},"modified":"2024-04-06T09:59:52","modified_gmt":"2024-04-06T13:59:52","slug":"broken-diagonal-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2022\/10\/29\/broken-diagonal-problem\/","title":{"rendered":"Broken Diagonal Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-2932\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/10\/Broken-Diagonal-Prob-Fig2a.jpg\" alt=\"\" width=\"200\" height=\"200\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/10\/Broken-Diagonal-Prob-Fig2a.jpg 408w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/10\/Broken-Diagonal-Prob-Fig2a-300x300.jpg 300w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/10\/Broken-Diagonal-Prob-Fig2a-150x150.jpg 150w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This is a nice problem from the UKMT Senior Mathematics Challenge for 2022:<\/p>\n<p>\u201cFive line segments of length 2, 2, 2, 1 and 3 connect two corners of a square as shown in the diagram. What is the shaded area?<\/p>\n<p style=\"text-align: center;\">A 8<span style=\"color: #ffffff;\">____<\/span>B 9<span style=\"color: #ffffff;\">____<\/span>C 10<span style=\"color: #ffffff;\">____<\/span>D 11<span style=\"color: #ffffff;\">____<\/span>E 12\u201d<\/p>\n<p>The pleasure of solving this problem may be lessened if one is under a time crunch, as is the case with all these timed tests.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Broken-Diagonal-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/10\/Broken-Diagonal-Problem-221026.pdf\">Broken Diagonal Problem<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a nice problem from the UKMT Senior Mathematics Challenge for 2022: \u201cFive line segments of length 2, 2, 2, 1 and 3 connect two corners of a square as shown in the diagram. What is the shaded area? A 8____B 9____C 10____D 11____E 12\u201d The pleasure of solving this problem may be lessened [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[13,83],"class_list":["post-2934","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-plane-geometry","tag-ukmt-challenge"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2934","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=2934"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2934\/revisions"}],"predecessor-version":[{"id":3589,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2934\/revisions\/3589"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=2934"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=2934"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=2934"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}