Q. A square has sides 5 cm smaller than the sides of a second square. The area of the larger square is four times the area of the smaller square. The side of the larger square is cm.<\/p>\n\n\n\n
(A) 18.50<\/p>\n\n\n\n
(B) 15.10<\/p>\n\n\n\n
(C) 10.00<\/strong><\/p>\n\n\n\n (D) 8.50<\/p>\n\n\n\n Ans: 10.00<\/strong><\/p>\n\n\n\n Solution:<\/p>\n\n\n\n Given: The side of small square is 5 cm less than larger one. <\/p>\n\n\n\n Area of large square is 4 times of area of small square. <\/p>\n\n\n\n Let, <\/p>\n\n\n\n Side of large square = x<\/p>\n\n\n\n side of small square = x – 5 <\/p>\n\n\n\n \u2235 Area of large square = 4 \u00d7 Area of small square <\/p>\n\n\n\n \u21d2 x2 = 4 \u00d7 (x – 5)2 <\/p>\n\n\n\n \u21d2 x2 = 4 (x2 – 10x + 25) <\/p>\n\n\n\n \u21d2 3×2 – 40x + 100 = 0 <\/p>\n\n\n\n \u21d2 3×2 – 30x – 10x + 100 = 0 <\/p>\n\n\n\n \u21d2 3 \u00d7 (x – 10) \u2013 10 \u00d7 (x – 10) = 0 <\/p>\n\n\n\n \u21d2 x – 10 = 0; 3x – 10 = 0 <\/p>\n\n\n\n \u2234 x = 10 or x = 10\/3 = 3.33 <\/p>\n\n\n\n But x = 3.33 gives negative value of side of smaller square. <\/p>\n\n\n\n \u2234 x = 10 cm<\/p>\n","protected":false},"excerpt":{"rendered":" Q. A square has sides 5 cm smaller than the sides of a second square. The area of the larger square is four times the area of the smaller square. The side of the larger square is cm. (A) 18.50 (B) 15.10 (C) 10.00 (D) 8.50 Ans: 10.00 Solution: Given: The side of small square […]<\/p>\n","protected":false},"author":419,"featured_media":153350,"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":[5141],"tags":[5140],"class_list":["post-153349","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153349","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=153349"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153349\/revisions"}],"predecessor-version":[{"id":153351,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153349\/revisions\/153351"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/153350"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=153349"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=153349"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=153349"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}