{"id":229142,"date":"2025-06-08T02:48:30","date_gmt":"2025-06-08T02:48:30","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=229142"},"modified":"2025-06-08T02:48:32","modified_gmt":"2025-06-08T02:48:32","slug":"mr-hodges-wants-to-build-a-fence-around-his-entire-rectangular-garden","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/08\/mr-hodges-wants-to-build-a-fence-around-his-entire-rectangular-garden\/","title":{"rendered":"Mr. Hodges wants to build a fence around his entire rectangular garden."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"> Mr. Hodges wants to build a fence around his entire rectangular garden. What is the total distance around the garden? 30 feet Units of Length 1 foot = 12 inches 1 yard = 3 feet 6 yards 1 mile = 5,280 feet 1 kilometer = 1,000 mete 1 meter = 100 centimeter 1 meter = 1,000 millimete 1 centimeter = 10 millimet<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/image-263.png\" alt=\"\" class=\"wp-image-229143\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To find the total distance around Mr. Hodges\u2019 rectangular garden (also known as the <strong>perimeter<\/strong>), we need to ensure all measurements are in the <strong>same unit<\/strong>, then use the perimeter formula for a rectangle:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Perimeter (P) = 2 \u00d7 (length + width)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">From the image:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Length = 30 feet<\/strong><\/li>\n\n\n\n<li><strong>Width = 6 yards<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">We need to convert the width from <strong>yards to feet<\/strong>. Using the conversion from the chart:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">1 yard = 3 feet<br>So:<br>6 yards \u00d7 3 feet\/yard = <strong>18 feet<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">Now we have:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Length = 30 feet<\/li>\n\n\n\n<li>Width = 18 feet<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Now apply the perimeter formula:P=2\u00d7(30+18)=2\u00d748=96&nbsp;feetP = 2 \u00d7 (30 + 18) = 2 \u00d7 48 = \\boxed{96 \\text{ feet}}P=2\u00d7(30+18)=2\u00d748=96&nbsp;feet\u200b<\/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 class=\"wp-block-paragraph\">This question involves calculating the <strong>perimeter<\/strong> of a <strong>rectangular garden<\/strong>, which is the total distance around its four sides. To solve it correctly, we first need to ensure all measurements are in the <strong>same unit<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In the diagram, the garden&#8217;s <strong>length<\/strong> is given as <strong>30 feet<\/strong>, and the <strong>width<\/strong> is given as <strong>6 yards<\/strong>. Since we can\u2019t directly add feet and yards, we use the <strong>conversion chart<\/strong> provided:<br>1 yard = 3 feet.<br>So we convert 6 yards into feet:<br>6 \u00d7 3 = 18 feet.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now both dimensions are in feet:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Length = 30 feet<\/li>\n\n\n\n<li>Width = 18 feet<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">For any rectangle, the perimeter is found using the formula:Perimeter=2\u00d7(Length+Width)\\text{Perimeter} = 2 \u00d7 (\\text{Length} + \\text{Width})Perimeter=2\u00d7(Length+Width)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This formula works because a rectangle has two equal lengths and two equal widths, so we add the length and width together, then multiply by 2.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Substituting in the values:2\u00d7(30+18)=2\u00d748=96&nbsp;feet2 \u00d7 (30 + 18) = 2 \u00d7 48 = 96 \\text{ feet}2\u00d7(30+18)=2\u00d748=96&nbsp;feet<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, Mr. Hodges needs <strong>96 feet of fencing<\/strong> to go all the way around his rectangular garden. This type of problem helps reinforce the importance of <strong>unit conversion<\/strong>, <strong>geometry<\/strong>, and attention to detail\u2014critical skills in both academic math and real-world tasks like construction or landscaping.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner9-153.jpeg\" alt=\"\" class=\"wp-image-229144\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Mr. Hodges wants to build a fence around his entire rectangular garden. What is the total distance around the garden? 30 feet Units of Length 1 foot = 12 inches 1 yard = 3 feet 6 yards 1 mile = 5,280 feet 1 kilometer = 1,000 mete 1 meter = 100 centimeter 1 meter = [&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-229142","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229142","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=229142"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229142\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=229142"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=229142"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=229142"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}