{"id":4733,"date":"2026-01-17T12:19:50","date_gmt":"2026-01-17T17:19:50","guid":{"rendered":"https:\/\/josmfs.net\/wordpress\/?p=4733"},"modified":"2026-01-17T12:38:19","modified_gmt":"2026-01-17T17:38:19","slug":"zigzag-in-rectangle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2026\/01\/17\/zigzag-in-rectangle\/","title":{"rendered":"ZigZag in Rectangle"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4730\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/01\/ZigZag-in-Rectangle-Fig2.jpg\" alt=\"\" width=\"201\" height=\"113\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/01\/ZigZag-in-Rectangle-Fig2.jpg 506w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/01\/ZigZag-in-Rectangle-Fig2-300x168.jpg 300w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/>This is another <a href=\"https:\/\/medium.com\/math-games\/can-you-solve-this-in-6-or-7-seconds-f6c7b00e8caf\">problem<\/a> from BL\u2019s Math Games.<\/p>\n<p>\u201cWhat fraction of the rectangle is colored?\u00a0 Assume that M and N are midpoints of the sides of the rectangle.\u201d<\/p>\n<p>That they are midpoints was not stated explicitly in the problem as given in front of the subscription wall, but from the comments it became evident this was the case.<\/p>\n<p>Initially I actually assumed the line was positioned arbitrarily.\u00a0 What would be the solution in that case?<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/01\/ZigZag-in-Rectangle-Answer.jpg\">Answer<\/a> to BL problem.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/01\/ZigZag-in-Rectangle-260107.pdf\">ZigZag in Rectangle<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is another problem from BL\u2019s Math Games. \u201cWhat fraction of the rectangle is colored?\u00a0 Assume that M and N are midpoints of the sides of the rectangle.\u201d That they are midpoints was not stated explicitly in the problem as given in front of the subscription wall, but from the comments it became evident this [&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":[274,13],"class_list":["post-4733","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-bl-puzzles","tag-plane-geometry"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4733","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=4733"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4733\/revisions"}],"predecessor-version":[{"id":4737,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4733\/revisions\/4737"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4733"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4733"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4733"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}