{"id":179576,"date":"2025-01-01T19:03:25","date_gmt":"2025-01-01T19:03:25","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=179576"},"modified":"2025-01-01T19:04:37","modified_gmt":"2025-01-01T19:04:37","slug":"ninas-garden-is-41-5-meters-long-and-3-10-meter-wide","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/01\/ninas-garden-is-41-5-meters-long-and-3-10-meter-wide\/","title":{"rendered":"Nina&#8217;s garden is 4(1)\/(5) meters long and (3)\/(10) meter wide"},"content":{"rendered":"\n<p>Nina&#8217;s garden is 4(1)\/(5) meters long and (3)\/(10) meter wide. What is the area of Nina&#8217;s garden? 4(3)\/(50) square meter 1(3)\/(50) square meter 4(13)\/(50) square meter 1(13)\/(50) square meter<\/p>\n\n\n\n<p><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><strong>Correct Answer: 4(13)\/(50) square meters<\/strong><\/p>\n\n\n\n<p><strong>Explanation <\/strong>:<\/p>\n\n\n\n<p>To determine the area of Nina&#8217;s garden, we use the formula for the area of a rectangle: Area=Length\u00d7Width\\text{Area} = \\text{Length} \\times \\text{Width}<\/p>\n\n\n\n<p>The given length is 4154\\frac{1}{5} meters, and the width is 310\\frac{3}{10} meter. First, convert the mixed number 4154\\frac{1}{5} into an improper fraction: 415=5\u00d74+15=215.4\\frac{1}{5} = \\frac{5 \\times 4 + 1}{5} = \\frac{21}{5}.<\/p>\n\n\n\n<p>Now, calculate the area by multiplying the two fractions: Area=215\u00d7310.\\text{Area} = \\frac{21}{5} \\times \\frac{3}{10}.<\/p>\n\n\n\n<p>To multiply fractions, multiply the numerators and denominators: Area=21\u00d735\u00d710=6350.\\text{Area} = \\frac{21 \\times 3}{5 \\times 10} = \\frac{63}{50}.<\/p>\n\n\n\n<p>Convert the improper fraction 6350\\frac{63}{50} into a mixed number. Divide 63 by 50: 63\u00f750=1&nbsp;remainder&nbsp;13.63 \\div 50 = 1 \\text{ remainder } 13.<\/p>\n\n\n\n<p>Thus, 6350=11350\\frac{63}{50} = 1\\frac{13}{50}.<\/p>\n\n\n\n<p>The area of Nina&#8217;s garden is therefore: 41350&nbsp;square&nbsp;meters.\\boxed{4\\frac{13}{50} \\text{ square meters}}.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Why This is the Correct Answer<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Conversion of Mixed Numbers:<\/strong> The first step ensures the length is expressed in a fraction compatible with multiplication.<\/li>\n\n\n\n<li><strong>Multiplication of Fractions:<\/strong> The second step accurately calculates the area using the standard method for multiplying fractions.<\/li>\n\n\n\n<li><strong>Simplification:<\/strong> The improper fraction is converted into a mixed number for clarity, as is standard in many contexts.<\/li>\n<\/ol>\n\n\n\n<p>By following these steps, we arrive at 413504\\frac{13}{50}, making it the correct answer among the options provided.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Nina&#8217;s garden is 4(1)\/(5) meters long and (3)\/(10) meter wide. What is the area of Nina&#8217;s garden? 4(3)\/(50) square meter 1(3)\/(50) square meter 4(13)\/(50) square meter 1(13)\/(50) square meter The correct answer and explanation is: Correct Answer: 4(13)\/(50) square meters Explanation : To determine the area of Nina&#8217;s garden, we use the formula for the [&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-179576","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/179576","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=179576"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/179576\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=179576"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=179576"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=179576"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}