{"id":26525,"date":"2026-01-21T20:31:25","date_gmt":"2026-01-21T17:31:25","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?page_id=26525"},"modified":"2026-02-19T20:26:58","modified_gmt":"2026-02-19T17:26:58","slug":"problem-of-the-month-january-2026","status":"publish","type":"page","link":"https:\/\/w3.bilkent.edu.tr\/en\/problem-of-the-month-january-2026\/","title":{"rendered":"Problem of the Month \u2013 January 2026"},"content":{"rendered":"<p>The set of side lengths of of four rectangles consists of 8 integers. If the sum of areas of two of these rectangles is equal to the sum of areas of the remaining two of these rectangles what is the minimal possible total area of these four rectangles?<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Correct Solutions by,<\/strong><\/p>\n<ul>\n<li class=\"solver-item\"><span class=\"solver-name\">Mehmet Sarak\u00a0<\/span><span class=\"solver-aff\">Bilkent University<\/span><\/li>\n<li class=\"solver-item\"><span class=\"solver-name\">Toshihiro Shimizu\u00a0<\/span><span class=\"solver-aff\">Kawasaki, Japan<\/span><\/li>\n<li class=\"solver-item\"><span class=\"solver-name\">G\u00fcne\u015f Parlakg\u00fcl\u00a0<\/span><span class=\"solver-aff\">University of California, Berkeley, USA<\/span><\/li>\n<li class=\"solver-item\"><span class=\"solver-name\">Albert Stadler\u00a0<\/span><span class=\"solver-aff\">Herrliberg, Switzerland<\/span><\/li>\n<li class=\"solver-item\"><span class=\"solver-name\">Mustafa Kaynak\u00a0<\/span><span class=\"solver-aff\">Gaziantep<\/span><\/li>\n<li class=\"solver-item\"><span class=\"solver-name\">Yi\u011fit Y\u0131lmaz\u00a0<\/span><span class=\"solver-aff\">Bilkent University<\/span><\/li>\n<li class=\"solver-item\"><span class=\"solver-name\">Murat Bur\u00e7\u00a0<\/span><span class=\"solver-aff\">Soma, Manisa<\/span><\/li>\n<li class=\"solver-item\"><span class=\"solver-name\">\u00d6zg\u00fcr Soysal\u00a0<\/span><span class=\"solver-aff\">Bilkent University<\/span><\/li>\n<li class=\"solver-item\"><span class=\"solver-name\">Metin Can Aydemir\u00a0<\/span><span class=\"solver-aff\">Bilkent University<\/span><\/li>\n<li class=\"solver-item\"><span class=\"solver-name\">Hasan Z\u00fcbeyr Demir\u00a0<\/span><span class=\"solver-aff\">Ankara<\/span><\/li>\n<li class=\"solver-item\"><span class=\"solver-name\">Alper Balc\u0131\u00a0<\/span><span class=\"solver-aff\">Ohio State University, USA<\/span><\/li>\n<li class=\"solver-item\"><span class=\"solver-name\">M\u00fcmtaz Ula\u015f Keskin\u00a0<\/span><span class=\"solver-aff\">Antalya<\/span><\/li>\n<li class=\"solver-item\"><span class=\"solver-name\">Hudaynazar Nuryyew\u00a0<\/span><span class=\"solver-aff\">Babadayhan, Turkmenistan<\/span><\/li>\n<li class=\"solver-item\"><span class=\"solver-name\">Magnus Jakobsson\u00a0<\/span><span class=\"solver-aff\">Lund, Sweden<\/span><\/li>\n<li class=\"solver-item\"><span class=\"solver-name\">Abdulkadir Tanr\u0131verdi\u00a0<\/span><span class=\"solver-aff\">Eski\u015fehir<\/span><\/li>\n<li class=\"solver-item\"><span class=\"solver-name\">Murat Apayd\u0131n<\/span><\/li>\n<li class=\"solver-item\"><span class=\"solver-name\">Tamer T\u00fcrko\u011flu<\/span><\/li>\n<\/ul>\n<p><strong>Solution:\u00a0<a href=\"https:\/\/math.bilkent.edu.tr\/Problem\/2601a.pdf\">https:\/\/math.bilkent.edu.tr\/Problem\/2601a.pdf<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The set of side lengths of of four rectangles consists of 8 integers. If the sum of areas of two of these rectangles is equal to the sum of areas of the remaining two of these rectangles what is the minimal possible total area of these four rectangles? &nbsp; Correct [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/problem-of-the-month-january-2026\/\" rel=\"nofollow\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-26525","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/26525","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/comments?post=26525"}],"version-history":[{"count":3,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/26525\/revisions"}],"predecessor-version":[{"id":26855,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/26525\/revisions\/26855"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=26525"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}