{"id":22833,"date":"2025-06-16T22:22:28","date_gmt":"2025-06-16T22:22:28","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=22833"},"modified":"2025-06-16T22:22:32","modified_gmt":"2025-06-16T22:22:32","slug":"the-office-and-the-living-room-in-a-tiny-house-share-a-wall","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/the-office-and-the-living-room-in-a-tiny-house-share-a-wall\/","title":{"rendered":"The office and the living room in a tiny house share a wall"},"content":{"rendered":"\n<p>The office and the living room in a tiny house share a wall. The area of the office is 18 square feet. The area of the living room is 48 square feet. The expression 18 48 represents the total area in square feet. Which of the following expressions also show the total area of the two rooms? Choose all that apply<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p>To find the total area of the <strong>office<\/strong> and the <strong>living room<\/strong>, you simply <strong>add<\/strong> their individual areas:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Area of office = <strong>18 square feet<\/strong><\/li>\n\n\n\n<li>Area of living room = <strong>48 square feet<\/strong><\/li>\n\n\n\n<li>Total area = <strong>18 + 48<\/strong><\/li>\n<\/ul>\n\n\n\n<p>So, the expression <strong>18 + 48<\/strong> represents the total area.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Other expressions that show the total area:<\/h3>\n\n\n\n<p>We are asked to find <strong>all<\/strong> the expressions that <strong>also<\/strong> show the total area. Let\u2019s look at other possible correct options using basic math:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>48 + 18<\/strong> \u2013 \u2705 Yes. Addition is <strong>commutative<\/strong>, meaning the order doesn\u2019t matter: 18+48=66and48+18=6618 + 48 = 66 \\quad \\text{and} \\quad 48 + 18 = 66<\/li>\n\n\n\n<li><strong>(20 \u2013 2) + (50 \u2013 2)<\/strong> \u2013 \u2705 Let\u2019s simplify: (20\u20132)=18and(50\u20132)=48\u21d218+48=66(20 \u2013 2) = 18 \\quad \\text{and} \\quad (50 \u2013 2) = 48 \\Rightarrow 18 + 48 = 66 This is another valid way to represent the total.<\/li>\n\n\n\n<li><strong>66<\/strong> \u2013 \u2705 Yes. This is the actual total area as a single number, rather than an expression, but still represents the correct total.<\/li>\n\n\n\n<li><strong>(10 + 8) + (40 + 8)<\/strong> \u2013 \u2705 Simplify: 10+8=18and40+8=48\u21d218+48=6610 + 8 = 18 \\quad \\text{and} \\quad 40 + 8 = 48 \\Rightarrow 18 + 48 = 66<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Incorrect options (if presented):<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>18 \u00d7 48<\/strong> \u2013 \u274c This gives 864, which is not a total area of two rooms.<\/li>\n\n\n\n<li><strong>48 \u2013 18<\/strong> \u2013 \u274c This gives 30, which is not a total area.<\/li>\n\n\n\n<li><strong>18 \u00f7 48<\/strong> \u2013 \u274c This is a ratio, not a total area.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Summary:<\/h3>\n\n\n\n<p><strong>Correct expressions that represent the total area of the two rooms are:<\/strong><\/p>\n\n\n\n<p>\u2705 <strong>18 + 48<\/strong><br>\u2705 <strong>48 + 18<\/strong><br>\u2705 <strong>(20 \u2013 2) + (50 \u2013 2)<\/strong><br>\u2705 <strong>(10 + 8) + (40 + 8)<\/strong><br>\u2705 <strong>66<\/strong><\/p>\n\n\n\n<p>These all simplify to the same total: <strong>66 square feet<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The office and the living room in a tiny house share a wall. The area of the office is 18 square feet. The area of the living room is 48 square feet. The expression 18 48 represents the total area in square feet. Which of the following expressions also show the total area of the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-22833","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/22833","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=22833"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/22833\/revisions"}],"predecessor-version":[{"id":22834,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/22833\/revisions\/22834"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=22833"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=22833"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=22833"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}