{"id":4717,"date":"2026-01-03T11:16:31","date_gmt":"2026-01-03T16:16:31","guid":{"rendered":"https:\/\/josmfs.net\/wordpress\/?p=4717"},"modified":"2026-02-25T21:58:24","modified_gmt":"2026-02-26T02:58:24","slug":"spot-in-a-rectangle-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2026\/01\/03\/spot-in-a-rectangle-problem\/","title":{"rendered":"Spot in a Rectangle \u00a0Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4714\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/01\/Spot-in-Rectangle-Fig2.jpg\" alt=\"\" width=\"201\" height=\"128\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/01\/Spot-in-Rectangle-Fig2.jpg 413w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/01\/Spot-in-Rectangle-Fig2-300x191.jpg 300w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/>This puzzle is from the Irishman Owen O\u2019Shea.<\/p>\n<p>\u201cThe following puzzle illustrates a beautiful mathematical relationship involving a rectangle of any size and a random point within that rectangle that most people, including mathematicians, are unaware of.<\/p>\n<p>The figure shows a rectangular room.\u00a0 There is a matchbox located 6 feet from one corner of the room and 27 feet from the opposite corner.\u00a0 The matchbox is also located 21 feet from a third corner.<\/p>\n<p>How far is the matchbox from the fourth corner?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/01\/Spot-in-Rectangle-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/01\/Spot-in-Rectangle-Problem-240418.pdf\">Spot in a Rectangle Problem<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This puzzle is from the Irishman Owen O\u2019Shea. \u201cThe following puzzle illustrates a beautiful mathematical relationship involving a rectangle of any size and a random point within that rectangle that most people, including mathematicians, are unaware of. The figure shows a rectangular room.\u00a0 There is a matchbox located 6 feet from one corner of the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[263,13],"class_list":["post-4717","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-owen-oshea","tag-plane-geometry"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4717","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=4717"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4717\/revisions"}],"predecessor-version":[{"id":4718,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4717\/revisions\/4718"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4717"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4717"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4717"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}