{"id":427,"date":"2019-01-06T18:42:42","date_gmt":"2019-01-06T23:42:42","guid":{"rendered":"http:\/\/josmfs.net\/?p=427"},"modified":"2019-03-27T23:35:18","modified_gmt":"2019-03-28T03:35:18","slug":"perimeter-area-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/01\/06\/perimeter-area-problem\/","title":{"rendered":"Perimeter-Area Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-425\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/01\/Perimeter-Area-Prob-Fig0.jpg\" alt=\"\" width=\"200\" height=\"214\" \/><a href=\"https:\/\/twitter.com\/jamestanton\">James Tanton<\/a> posted the following interesting problem on his Twitter account:<\/p>\n<p>A square of area A, perimeter P. For which values 0&lt; r &lt;1 is there a line across the square that chops off rA of the area and rP of the perimeter as shown? (r = 1\/2, yes; r = 1\/3, no.)<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/01\/Perimeter-Area-Problem-190106.pdf\">Perimeter-Area Problem<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>James Tanton posted the following interesting problem on his Twitter account: A square of area A, perimeter P. For which values 0&lt; r &lt;1 is there a line across the square that chops off rA of the area and rP of the perimeter as shown? (r = 1\/2, yes; r = 1\/3, no.) See the [&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":[],"class_list":["post-427","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/427","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=427"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/427\/revisions"}],"predecessor-version":[{"id":819,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/427\/revisions\/819"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=427"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=427"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=427"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}