{"id":165191,"date":"2024-03-22T15:12:34","date_gmt":"2024-03-22T09:42:34","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=165191"},"modified":"2024-03-22T15:12:35","modified_gmt":"2024-03-22T09:42:35","slug":"in-the-fig-cd-de-bc-4-cm-ae-3-cm-%e2%88%a0a-90-abcd-is-a-quadrilateral-and-efgb-is-a-square","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/in-the-fig-cd-de-bc-4-cm-ae-3-cm-%e2%88%a0a-90-abcd-is-a-quadrilateral-and-efgb-is-a-square\/","title":{"rendered":"In the fig. CD = DE, BC = 4 cm, AE = 3 cm, \u2220A = 90\u00b0. ABCD is a quadrilateral and EFGB is a square"},"content":{"rendered":"\n<p><span style=\"font-size:11.0pt;mso-bidi-font-size:14.0pt;\nline-height:107%;font-family:&quot;Calibri&quot;,sans-serif;mso-ascii-theme-font:minor-latin;\nmso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font:\nminor-latin;mso-bidi-font-family:Vrinda;mso-bidi-theme-font:minor-bidi;\nmso-ansi-language:EN-US;mso-fareast-language:EN-US;mso-bidi-language:AS\">In the fig. CD = DE, BC = 4 cm, AE = 3 cm, <\/span><span style=\"font-size:11.0pt;\nmso-bidi-font-size:14.0pt;line-height:107%;font-family:&quot;Cambria Math&quot;,serif;\nmso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-bidi-font-family:\n&quot;Cambria Math&quot;;mso-ansi-language:EN-US;mso-fareast-language:EN-US;mso-bidi-language:\nAS\">\u2220<\/span><span style=\"font-size:11.0pt;mso-bidi-font-size:14.0pt;line-height:\n107%;font-family:&quot;Calibri&quot;,sans-serif;mso-ascii-theme-font:minor-latin;\nmso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font:\nminor-latin;mso-bidi-font-family:Vrinda;mso-bidi-theme-font:minor-bidi;\nmso-ansi-language:EN-US;mso-fareast-language:EN-US;mso-bidi-language:AS\">A = 90<\/span><span style=\"font-size:11.0pt;mso-bidi-font-size:14.0pt;line-height:107%;font-family:\n&quot;Calibri&quot;,sans-serif;mso-fareast-font-family:Calibri;mso-fareast-theme-font:\nminor-latin;mso-ansi-language:EN-US;mso-fareast-language:EN-US;mso-bidi-language:\nAS\">\u00b0<\/span><span style=\"font-size:11.0pt;mso-bidi-font-size:14.0pt;line-height:\n107%;font-family:&quot;Calibri&quot;,sans-serif;mso-ascii-theme-font:minor-latin;\nmso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font:\nminor-latin;mso-bidi-font-family:Vrinda;mso-bidi-theme-font:minor-bidi;\nmso-ansi-language:EN-US;mso-fareast-language:EN-US;mso-bidi-language:AS\">. ABCD is a quadrilateral and EFGB is a square. Find the area of the square EFGB?<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"980\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-208-1024x980.png\" alt=\"\" class=\"wp-image-165192\" style=\"width:161px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-208-1024x980.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-208-300x287.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-208-767x734.png 767w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-208-1536x1469.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-208-2048x1959.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-208-157x150.png 157w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-208-100x96.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-208-366x350.png 366w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-208-788x753.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-208.png 277w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><strong>a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 4 cm\u00b2<\/strong><\/p>\n\n\n\n<p>b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 16 cm\u00b2<\/p>\n\n\n\n<p>c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 2 cm\u00b2<\/p>\n\n\n\n<p>d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 36 cm\u00b2<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Construction- join BD<\/p>\n\n\n\n<p>Let AD = y, EB = x<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"623\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-209-1024x623.png\" alt=\"\" class=\"wp-image-165193\" style=\"width:313px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-209-1024x623.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-209-300x182.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-209-766x466.png 766w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-209-1536x934.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-209-2048x1245.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-209-247x150.png 247w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-209-100x61.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-209-576x350.png 576w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-209-788x479.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-209.png 347w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"251\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-210-1024x251.png\" alt=\"\" class=\"wp-image-165194\" style=\"width:223px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-210-1024x251.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-210-300x74.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-210-766x188.png 766w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-210-1536x377.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-210-2048x503.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-210-611x150.png 611w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-210-100x25.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-210-1426x350.png 1426w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-210-788x193.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-210.png 220w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>In the fig. CD = DE, BC = 4 cm, AE = 3 cm, \u2220A = 90\u00b0. ABCD is a quadrilateral and EFGB is a square. Find the area of the square EFGB? a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 4 cm\u00b2 b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 16 cm\u00b2 c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 2 cm\u00b2 d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 36 cm\u00b2 Sol: Construction- join BD Let AD = y, EB = [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":165195,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5138],"tags":[5139],"class_list":["post-165191","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\/165191","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=165191"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165191\/revisions"}],"predecessor-version":[{"id":165196,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165191\/revisions\/165196"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/165195"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=165191"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=165191"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=165191"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}