{"id":28343,"date":"2025-06-20T11:51:01","date_gmt":"2025-06-20T11:51:01","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=28343"},"modified":"2025-06-20T11:51:02","modified_gmt":"2025-06-20T11:51:02","slug":"isabella-is-building-a-tree-fort","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/isabella-is-building-a-tree-fort\/","title":{"rendered":"Isabella Is building a tree fort"},"content":{"rendered":"\n<p>Isabella Is building a tree fort .The base of the fort is 78 inches wide by 92 inches long. What is the area of the base in square inches? Show your work What is the area of the base in square feet? Show your work<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-pale-pink-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the <strong>area of the base<\/strong> of Isabella\u2019s tree fort, we use the <strong>formula for the area of a rectangle<\/strong>:Area=Length\u00d7Width\\text{Area} = \\text{Length} \\times \\text{Width}Area=Length\u00d7Width<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Calculate the area in <strong>square inches<\/strong><\/h3>\n\n\n\n<p>Given:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Length = 92 inches<\/li>\n\n\n\n<li>Width = 78 inches<\/li>\n<\/ul>\n\n\n\n<p>Area=92\u00d778=7176&nbsp;square&nbsp;inches\\text{Area} = 92 \\times 78 = 7176 \\text{ square inches}Area=92\u00d778=7176&nbsp;square&nbsp;inches<\/p>\n\n\n\n<p>So, the area of the base is <strong>7,176 square inches<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Convert square inches to <strong>square feet<\/strong><\/h3>\n\n\n\n<p>We know that:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1 foot = 12 inches<\/li>\n\n\n\n<li>1 square foot = 12 inches \u00d7 12 inches = 144 square inches<\/li>\n<\/ul>\n\n\n\n<p>To convert 7,176 square inches to square feet:Area&nbsp;in&nbsp;square&nbsp;feet=7176144\u224849.83&nbsp;square&nbsp;feet\\text{Area in square feet} = \\frac{7176}{144} \\approx 49.83 \\text{ square feet}Area&nbsp;in&nbsp;square&nbsp;feet=1447176\u200b\u224849.83&nbsp;square&nbsp;feet<\/p>\n\n\n\n<p>So, the area of the base is approximately <strong>49.83 square feet<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"> Explanation:<\/h3>\n\n\n\n<p>To solve this problem, we begin with understanding that a rectangle\u2019s area is found by multiplying its length and width. Both of these values are given in inches. Isabella\u2019s tree fort base measures 78 inches wide and 92 inches long. By multiplying these two dimensions, we calculate how much flat space the base covers. This calculation gives:92\u00d778=7176&nbsp;square&nbsp;inches92 \\times 78 = 7176 \\text{ square inches}92\u00d778=7176&nbsp;square&nbsp;inches<\/p>\n\n\n\n<p>This tells us the area in terms of square inches. However, sometimes it is more useful to express area in square feet, especially when building or comparing to larger spaces.<\/p>\n\n\n\n<p>Since one foot is equal to twelve inches, one square foot equals twelve inches times twelve inches, which is 144 square inches. To convert from square inches to square feet, we divide the total number of square inches by 144:7176\u00f7144\u224849.83&nbsp;square&nbsp;feet7176 \\div 144 \\approx 49.83 \\text{ square feet}7176\u00f7144\u224849.83&nbsp;square&nbsp;feet<\/p>\n\n\n\n<p>This result shows that the base of the tree fort is just under 50 square feet. Using square feet makes it easier to visualize the size, especially when thinking about how much space someone would have inside the fort. This kind of conversion is also important when purchasing materials like flooring or estimating construction costs, as those are typically measured in square feet.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-206.jpeg\" alt=\"\" class=\"wp-image-28344\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-206.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-206-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-206-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Isabella Is building a tree fort .The base of the fort is 78 inches wide by 92 inches long. What is the area of the base in square inches? Show your work What is the area of the base in square feet? Show your work The Correct Answer and Explanation is: To find the area [&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-28343","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28343","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=28343"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28343\/revisions"}],"predecessor-version":[{"id":28345,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28343\/revisions\/28345"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=28343"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=28343"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=28343"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}