{"id":190690,"date":"2025-02-13T06:58:51","date_gmt":"2025-02-13T06:58:51","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=190690"},"modified":"2025-02-13T06:58:54","modified_gmt":"2025-02-13T06:58:54","slug":"a-homeowner-is-deciding-on-the-size-of-tiles-to-use-to-fully-tile-a-rectangular-wall-in-her-bathroom-that-is-80-inches-by-40-inches","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/13\/a-homeowner-is-deciding-on-the-size-of-tiles-to-use-to-fully-tile-a-rectangular-wall-in-her-bathroom-that-is-80-inches-by-40-inches\/","title":{"rendered":"A homeowner is deciding on the size of tiles to use to fully tile a rectangular wall in her bathroom that is 80 inches by 40 inches"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">A homeowner is deciding on the size of tiles to use to fully tile a rectangular wall in her bathroom that is 80 inches by 40 inches. The tiles are squares and come in three side lengths: 8 inches, 4 inches, and 2 inches. State if you agree with each statement about the tiles. Explain your reasoning.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a. Regardless of the size she chooses, she will need the same number of tiles.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b. Regardless of the size she chooses, the area of the wall that is being tiled is the same.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c. She will need two 2-inch tiles to cover the same area as one 4-inch tile. @ she will need 4-inch tiles to cover the same area as the one 8-inch tile. \u2460<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d. If she choses the einch tiles she will need a quarter as many tiles as she would with a lich tiles.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let&#8217;s assess each statement based on the details of the tiling situation for the bathroom wall, which measures 80 inches by 40 inches, and the available tile sizes: 8 inches, 4 inches, and 2 inches square tiles.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>a. Regardless of the size she chooses, she will need the same number of tiles.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>This statement is false. The number of tiles needed depends on the area each tile covers, which varies with tile size.<\/li>\n\n\n\n<li>The area of the wall is (80 \\text{ inches} \\times 40 \\text{ inches} = 3200 \\text{ square inches}).<\/li>\n\n\n\n<li>For 8-inch tiles, each tile covers (8 \\text{ inches} \\times 8 \\text{ inches} = 64 \\text{ square inches}). Number of 8-inch tiles needed: (\\frac{3200}{64} = 50).<\/li>\n\n\n\n<li>For 4-inch tiles, each tile covers (4 \\text{ inches} \\times 4 \\text{ inches} = 16 \\text{ square inches}). Number of 4-inch tiles needed: (\\frac{3200}{16} = 200).<\/li>\n\n\n\n<li>For 2-inch tiles, each tile covers (2 \\text{ inches} \\times 2 \\text{ inches} = 4 \\text{ square inches}). Number of 2-inch tiles needed: (\\frac{3200}{4} = 800).<\/li>\n\n\n\n<li>As the tile size decreases, the number of tiles required increases.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>b. Regardless of the size she chooses, the area of the wall that is being tiled is the same.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>This statement is true. The area of the wall to be tiled does not change and remains 3200 square inches, irrespective of the tile size used.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>c. She will need two 2-inch tiles to cover the same area as one 4-inch tile. @ she will need 4-inch tiles to cover the same area as the one 8-inch tile.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>This statement is false. Let&#8217;s analyze each part:<\/li>\n\n\n\n<li>One 4-inch tile covers 16 square inches.<\/li>\n\n\n\n<li>Two 2-inch tiles together cover (2 \\times 4 = 8 \\text{ square inches}). Four 2-inch tiles would be needed to cover the same area as one 4-inch tile.<\/li>\n\n\n\n<li>One 8-inch tile covers 64 square inches.<\/li>\n\n\n\n<li>Four 4-inch tiles together cover (4 \\times 16 = 64 \\text{ square inches}). Four 4-inch tiles are needed to cover the same area as one 8-inch tile, not just one 4-inch tile.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>d. If she chooses the 8-inch tiles she will need a quarter as many tiles as she would with 4-inch tiles.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>This statement is true. As calculated:<\/li>\n\n\n\n<li>For 8-inch tiles: 50 tiles.<\/li>\n\n\n\n<li>For 4-inch tiles: 200 tiles.<\/li>\n\n\n\n<li>(\\frac{200}{50} = 4). Hence, when using 8-inch tiles, only a quarter as many tiles are needed compared to 4-inch tiles.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Each tile choice results in different numbers of tiles needed to cover the same total area due to the variation in the area each tile covers.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A homeowner is deciding on the size of tiles to use to fully tile a rectangular wall in her bathroom that is 80 inches by 40 inches. The tiles are squares and come in three side lengths: 8 inches, 4 inches, and 2 inches. State if you agree with each statement about the tiles. Explain [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","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-5)","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-5)","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-5)","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":[25],"tags":[],"class_list":["post-190690","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/190690","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=190690"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/190690\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=190690"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=190690"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=190690"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}