{"id":166661,"date":"2024-04-09T12:13:58","date_gmt":"2024-04-09T06:43:58","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=166661"},"modified":"2024-04-09T12:13:59","modified_gmt":"2024-04-09T06:43:59","slug":"abcd-is-a-square-where-p-q-r-and-s-are-the-mid-points-of-ab-bc-cd-and-da-respectively","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/abcd-is-a-square-where-p-q-r-and-s-are-the-mid-points-of-ab-bc-cd-and-da-respectively\/","title":{"rendered":"ABCD is a square where P, Q, R and S are the mid-points of AB, BC, CD and DA respectively"},"content":{"rendered":"\n<p>ABCD is a square where P, Q, R and S are the mid-points of AB, BC, CD and DA respectively, then find the area of shaded region?<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"739\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-177-1024x739.png\" alt=\"\" class=\"wp-image-166662\" style=\"width:226px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-177-1024x739.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-177-300x217.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-177-767x554.png 767w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-177-1536x1109.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-177-2048x1479.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-177-208x150.png 208w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-177-100x72.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-177-485x350.png 485w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-177-788x568.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-177.png 295w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>(a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 16 cm\u00b2<\/p>\n\n\n\n<p>(b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 24 cm\u00b2<\/p>\n\n\n\n<p>(c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 28 cm\u00b2<\/p>\n\n\n\n<p><strong>(d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 32 cm\u00b2<\/strong><\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Area of square ABCD = 2 \u00d7 (62.5 + 65.5)<\/p>\n\n\n\n<p>= 256 cm\u00b2<\/p>\n\n\n\n<p>Now area of \u2206PQR =1\/8*256<\/p>\n\n\n\n<p>= 32 cm\u00b2<\/p>\n","protected":false},"excerpt":{"rendered":"<p>ABCD is a square where P, Q, R and S are the mid-points of AB, BC, CD and DA respectively, then find the area of shaded region? (a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 16 cm\u00b2 (b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 24 cm\u00b2 (c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 28 cm\u00b2 (d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 32 cm\u00b2 Sol: Area of square ABCD = 2 \u00d7 (62.5 + 65.5) = 256 cm\u00b2 Now area [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":166663,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5138],"tags":[5139],"offerexpiration":[],"class_list":["post-166661","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166661","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=166661"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166661\/revisions"}],"predecessor-version":[{"id":166664,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166661\/revisions\/166664"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/166663"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=166661"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=166661"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=166661"},{"taxonomy":"offerexpiration","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/offerexpiration?post=166661"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}