Let $latex R$ be a rectangle with side lengths $latex a$ and $latex b$. Show that if $latex R$ is tiled by rectangles each of which has at least one integer side, then at least one of $latex a$ and $latex b$ is an integer.<\/p>\n
Due day is May 10.<\/p>\n","protected":false},"excerpt":{"rendered":"
Let $latex R$ be a rectangle with side lengths $latex a$ and $latex b$. Show that if $latex R$ is tiled by rectangles each of which has at least one integer side, then at least one of $latex a$ and… <\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"_links":{"self":[{"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=\/wp\/v2\/posts\/2017"}],"collection":[{"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2017"}],"version-history":[{"count":1,"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=\/wp\/v2\/posts\/2017\/revisions"}],"predecessor-version":[{"id":2018,"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=\/wp\/v2\/posts\/2017\/revisions\/2018"}],"wp:attachment":[{"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2017"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2017"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2017"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}