{"id":233936,"date":"2025-06-13T14:59:16","date_gmt":"2025-06-13T14:59:16","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=233936"},"modified":"2025-06-13T14:59:19","modified_gmt":"2025-06-13T14:59:19","slug":"a-1-2bh-solve-for","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/13\/a-1-2bh-solve-for\/","title":{"rendered":"A = 1\/2bh, solve for"},"content":{"rendered":"\n<p>A = 1\/2bh, solve for b. Can someone show me the steps to solve this?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve the formula <strong>A = \u00bdbh<\/strong> for <strong>b<\/strong>, follow these algebraic steps:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step-by-Step Solution:<\/strong><\/h3>\n\n\n\n<p><strong>Given:<\/strong><br>A = \u00bd \u00d7 b \u00d7 h<\/p>\n\n\n\n<p>We want to <strong>solve for b<\/strong> (make <strong>b<\/strong> the subject of the formula).<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step 1: Eliminate the fraction.<\/strong><br>Multiply both sides of the equation by 2 to eliminate the \u00bd: 2A=bh2A = bh2A=bh<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step 2: Solve for b.<\/strong><br>To isolate <strong>b<\/strong>, divide both sides of the equation by <strong>h<\/strong>: 2Ah=b\\frac{2A}{h} = bh2A\u200b=b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Final Answer:<\/strong> b=2Ahb = \\frac{2A}{h}b=h2A\u200b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Textbook-Style Explanation (Approx. 300 Words)<\/strong><\/h3>\n\n\n\n<p>In algebra, solving for a variable means rearranging an equation to isolate that variable on one side of the equation. Here, we are given the formula for the area <strong>A<\/strong> of a triangle: A=12bhA = \\frac{1}{2}bhA=21\u200bbh<\/p>\n\n\n\n<p>This formula tells us that the area of a triangle is equal to one-half the product of its base (<strong>b<\/strong>) and its height (<strong>h<\/strong>). The goal is to solve for <strong>b<\/strong>, which means expressing <strong>b<\/strong> in terms of <strong>A<\/strong> and <strong>h<\/strong>.<\/p>\n\n\n\n<p>The first step is to eliminate the fraction, since working with whole numbers is often easier. We do this by multiplying both sides of the equation by 2: 2A=bh2A = bh2A=bh<\/p>\n\n\n\n<p>Now that we\u2019ve eliminated the fraction, we can focus on isolating the variable <strong>b<\/strong>. Notice that <strong>b<\/strong> is being multiplied by <strong>h<\/strong>. To undo multiplication, we use the opposite operation\u2014division. So we divide both sides of the equation by <strong>h<\/strong>: 2Ah=b\\frac{2A}{h} = bh2A\u200b=b<\/p>\n\n\n\n<p>This gives us the final expression for <strong>b<\/strong>: b=2Ahb = \\frac{2A}{h}b=h2A\u200b<\/p>\n\n\n\n<p>This new formula is useful when you know the area and height of a triangle and need to find the length of the base. By rearranging the original formula, we have made <strong>b<\/strong> the subject, and the expression on the right-hand side now shows how to calculate <strong>b<\/strong> directly. This technique is essential in algebra and is widely used in physics, engineering, and geometry.<\/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-banner8-369.jpeg\" alt=\"\" class=\"wp-image-233937\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A = 1\/2bh, solve for b. Can someone show me the steps to solve this? The Correct Answer and Explanation is: To solve the formula A = \u00bdbh for b, follow these algebraic steps: Step-by-Step Solution: Given:A = \u00bd \u00d7 b \u00d7 h We want to solve for b (make b the subject of 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-233936","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/233936","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=233936"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/233936\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=233936"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=233936"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=233936"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}