{"id":224489,"date":"2026-05-21T11:19:15","date_gmt":"2026-05-21T05:49:15","guid":{"rendered":"https:\/\/www.oliveboard.in\/blog\/?p=224489"},"modified":"2026-05-21T12:16:58","modified_gmt":"2026-05-21T06:46:58","slug":"trapezium","status":"publish","type":"post","link":"https:\/\/www.oliveboard.in\/blog\/trapezium\/","title":{"rendered":"Trapezium Formulas, Concepts, Strategies, Short Tricks, and Tips"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_77 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of content<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.oliveboard.in\/blog\/trapezium\/#Attempt_Trapezium_Live_Quiz\" >Attempt Trapezium Live Quiz<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.oliveboard.in\/blog\/trapezium\/#What_is_Trapezium_in_Quantitative_Aptitude\" >What is Trapezium in Quantitative Aptitude?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.oliveboard.in\/blog\/trapezium\/#Why_Is_Trapezium_Important_in_Competitive_Exams\" >Why Is Trapezium Important in Competitive Exams?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.oliveboard.in\/blog\/trapezium\/#Trapezium_Quantitative_Aptitude_Short_Notes\" >Trapezium Quantitative Aptitude Short Notes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.oliveboard.in\/blog\/trapezium\/#Quick_Revision_Summary\" >Quick Revision Summary<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.oliveboard.in\/blog\/trapezium\/#What_Are_the_Types_of_Trapezium_Questions_in_Quantitative_Aptitude\" >What Are the Types of Trapezium Questions in Quantitative Aptitude?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.oliveboard.in\/blog\/trapezium\/#Trapezium_Formulas_for_Quantitative_Aptitude\" >Trapezium Formulas for Quantitative Aptitude<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.oliveboard.in\/blog\/trapezium\/#Trapezium_Tricks_for_SSC_CGL_and_Other_Exams\" >Trapezium Tricks for SSC CGL and Other Exams<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.oliveboard.in\/blog\/trapezium\/#Common_Mistakes_to_Avoid_while_Solving_Trapezium_Questions\" >Common Mistakes to Avoid while Solving Trapezium Questions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.oliveboard.in\/blog\/trapezium\/#FAQs\" >FAQs<\/a><\/li><\/ul><\/nav><\/div>\n\n<p>The <strong>Trapezium<\/strong> is a quadrilateral with exactly one pair of parallel sides. It is a frequently tested geometry topic in SSC, Banking, and Railway exams. In this blog we have provided all the details from the definition, key properties, formulas, tricks, solved questions, and more.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-attempt-trapezium-live-quiz\"><span class=\"ez-toc-section\" id=\"Attempt_Trapezium_Live_Quiz\"><\/span>Attempt Trapezium Live Quiz<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Attempt them live and check your score according to the real exam marking scheme.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/blog\/trapezium-questions\/?ref=contmk-blog-theory-trap\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt Free Trapezium Quiz Live<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-what-is-trapezium-in-quantitative-aptitude\"><span class=\"ez-toc-section\" id=\"What_is_Trapezium_in_Quantitative_Aptitude\"><\/span>What is Trapezium in Quantitative Aptitude?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Let\u2019s begin by understanding the basic definition and properties of a trapezium and why it is an important topic in quantitative aptitude exams.<\/p>\n\n\n\n<p>A <strong>Trapezium<\/strong> (or trapezoid) is a quadrilateral where <strong>only one pair of opposite sides are parallel<\/strong>. The parallel sides are called the bases, and the other two are the legs.<\/p>\n\n\n\n<p><strong>Why it appears in exams:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Tests knowledge of quadrilaterals and mensuration formulas.<\/li>\n\n\n\n<li>Requires application of area and perimeter formulas with height and bases.<\/li>\n<\/ul>\n\n\n\n<p><strong>Skills required:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Understanding parallel sides and height<\/li>\n\n\n\n<li>Application of area formula<\/li>\n\n\n\n<li>Visualization of shape properties<\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/ssc-cgl-mock-test\/?ref=contmk-blog-theory-trap\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free SSC CGL Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-why-is-trapezium-important-in-competitive-exams\"><span class=\"ez-toc-section\" id=\"Why_Is_Trapezium_Important_in_Competitive_Exams\"><\/span>Why Is Trapezium Important in Competitive Exams?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Trapezium questions appear regularly in competitive exams due to their moderate difficulty and applicability in mensuration problems.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Exam<\/strong><\/td><td><strong>No. of Questions<\/strong><\/td><td><strong>Difficulty<\/strong><\/td><\/tr><tr><td><a href=\"https:\/\/www.oliveboard.in\/ssc-cgl\/?ref=contmk-blog-theory-trap\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CG<\/a>L \/ <a href=\"https:\/\/www.oliveboard.in\/ssc-chsl\/?ref=contmk-blog-theory-trap\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CHSL<\/a><\/td><td>1\u20132<\/td><td>Easy<\/td><\/tr><tr><td><a href=\"https:\/\/www.oliveboard.in\/ibps-po\/?ref=contmk-blog-theory-trap\" target=\"_blank\" rel=\"noreferrer noopener\">IBPS PO<\/a> \/ <a href=\"https:\/\/www.oliveboard.in\/sbi-po\/?ref=contmk-blog-theory-trap\" target=\"_blank\" rel=\"noreferrer noopener\">SBI PO<\/a><\/td><td>1\u20132<\/td><td>Moderate<\/td><\/tr><tr><td><a href=\"https:\/\/www.oliveboard.in\/railway-rrb-ntpc\/?ref=contmk-blog-theory-trap\" target=\"_blank\" rel=\"noreferrer noopener\">RRB NTPC<\/a> \/ <a href=\"https:\/\/www.oliveboard.in\/railways-rrb-group-d\/?ref=contmk-blog-theory-trap\" target=\"_blank\" rel=\"noreferrer noopener\">RRB Group D<\/a><\/td><td>1<\/td><td>Easy<\/td><\/tr><tr><td>State PSC \/ Police<\/td><td>1\u20132<\/td><td>Moderate<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-trapezium-quantitative-aptitude-short-notes\"><span class=\"ez-toc-section\" id=\"Trapezium_Quantitative_Aptitude_Short_Notes\"><\/span>Trapezium Quantitative Aptitude Short Notes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>This section summarizes the key concepts and terminology related to trapeziums in a concise table for quick reference.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Term<\/strong><\/td><td><strong>Details<\/strong><\/td><\/tr><tr><td>Parallel sides (bases)<\/td><td>Only one pair of parallel sides<\/td><\/tr><tr><td>Legs<\/td><td>Non-parallel sides<\/td><\/tr><tr><td>Height (h)<\/td><td>Perpendicular distance between parallel sides<\/td><\/tr><tr><td>Interior angles<\/td><td>Sum is always 360\u00b0<\/td><\/tr><tr><td>Area<\/td><td>12\u00d7(a+b)\u00d7h\\frac{1}{2} \\times (a + b) \\times h21\u200b\u00d7(a+b)\u00d7h<\/td><\/tr><tr><td>Perimeter<\/td><td>Sum of all four sides<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-quick-revision-summary\"><span class=\"ez-toc-section\" id=\"Quick_Revision_Summary\"><\/span>Quick Revision Summary<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Here\u2019s a quick summary of the essential formulas and facts about trapeziums.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Concept<\/strong><\/td><td><strong>Explanation<\/strong><\/td><\/tr><tr><td>Number of parallel sides<\/td><td>Exactly one pair<\/td><\/tr><tr><td>Bases<\/td><td>Parallel sides<\/td><\/tr><tr><td>Height<\/td><td>Perpendicular distance between bases<\/td><\/tr><tr><td>Area formula<\/td><td>12\u00d7(a+b)\u00d7h\\frac{1}{2} \\times (a + b) \\times h21\u200b\u00d7(a+b)\u00d7h<\/td><\/tr><tr><td>Perimeter formula<\/td><td>Sum of all sides<\/td><\/tr><tr><td>Sum of interior angles<\/td><td>360\u00b0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/blog\/free-quizzes-for-ssc-exams\/?ref=contmk-blog-theory-trap\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt Free SSC Live Quizzes<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-what-are-the-types-of-trapezium-questions-in-quantitative-aptitude\"><span class=\"ez-toc-section\" id=\"What_Are_the_Types_of_Trapezium_Questions_in_Quantitative_Aptitude\"><\/span>What Are the Types of Trapezium Questions in Quantitative Aptitude?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Trapezium problems can appear in various forms in exams. Understanding the common question types will help you prepare effectively.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Direct formula application:<\/strong> Find area or perimeter given bases and height.<\/li>\n\n\n\n<li><strong>Missing side problems:<\/strong> Calculate missing leg using perimeter or Pythagoras theorem (if right trapezium).<\/li>\n\n\n\n<li><strong>Mixed problems:<\/strong> Combined with other mensuration topics or coordinate geometry.<\/li>\n\n\n\n<li><strong>Angle-based problems:<\/strong> Using properties of trapezium angles.<\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/sbi-po-mock-test\/?ref=contmk-blog-theory-trap\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free SBI PO Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-trapezium-formulas-for-quantitative-aptitude\"><span class=\"ez-toc-section\" id=\"Trapezium_Formulas_for_Quantitative_Aptitude\"><\/span>Trapezium Formulas for Quantitative Aptitude<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>In this section, we list all the important formulas related to trapeziums that will help you solve problems faster.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"752\" height=\"268\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/08\/image-31.png\" alt=\"\" class=\"wp-image-224492\"\/><\/figure><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"h-trapezium-tricks-for-ssc-cgl-and-other-exams\"><span class=\"ez-toc-section\" id=\"Trapezium_Tricks_for_SSC_CGL_and_Other_Exams\"><\/span>Trapezium Tricks for SSC CGL and Other Exams<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>These quick tips will help you solve trapezium questions more efficiently in competitive exams.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Always identify which sides are parallel to correctly apply the area formula.<\/li>\n\n\n\n<li>Use the Pythagoras theorem for right trapezium to find missing sides or height.<\/li>\n\n\n\n<li>Remember the sum of interior angles is 360\u00b0, helpful in angle-based problems.<\/li>\n\n\n\n<li>Convert complex trapeziums into simpler shapes if possible.<\/li>\n\n\n\n<li>Check units carefully when calculating area and perimeter.<\/li>\n<\/ol>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/ibps-po-mock-test\/?ref=contmk-blog-theory-trap\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free IBPS PO Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-common-mistakes-to-avoid-while-solving-trapezium-questions\"><span class=\"ez-toc-section\" id=\"Common_Mistakes_to_Avoid_while_Solving_Trapezium_Questions\"><\/span>Common Mistakes to Avoid while Solving Trapezium Questions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Avoid these common mistakes to score better in trapezium questions:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Mixing up legs and bases for area calculation.<\/li>\n\n\n\n<li>Forgetting to use the perpendicular height, not the slant height.<\/li>\n\n\n\n<li>Incorrectly assuming non-parallel sides are equal.<\/li>\n\n\n\n<li>Ignoring units during calculation.<\/li>\n\n\n\n<li>Confusing trapezium with parallelogram.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\"><span class=\"ez-toc-section\" id=\"FAQs\"><\/span>FAQs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1755008390879\"><strong class=\"schema-faq-question\">Q1. <strong>What is the height of trapezium?<\/strong><\/strong> <p class=\"schema-faq-answer\">The perpendicular distance between the parallel sides.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1755008391983\"><strong class=\"schema-faq-question\">Q2. <strong>Can trapezium be a parallelogram?<\/strong><\/strong> <p class=\"schema-faq-answer\">No, because a parallelogram has two pairs of parallel sides.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1755008392950\"><strong class=\"schema-faq-question\">Q3. <strong>Are trapeziums cyclic quadrilaterals?<\/strong><\/strong> <p class=\"schema-faq-answer\">Some trapeziums can be cyclic if the sum of opposite angles is 180\u00b0.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1755008393469\"><strong class=\"schema-faq-question\">Q4. <strong>What is the difference between trapezium and trapezoid?<\/strong><\/strong> <p class=\"schema-faq-answer\">Depends on country usage; often used interchangeably.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1755008410457\"><strong class=\"schema-faq-question\">Q5. <strong>Are trapezium questions asked in SBI PO?<\/strong><\/strong> <p class=\"schema-faq-answer\">Yes, often in mensuration or DI.<\/p> <\/div> <\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<ul class=\"wp-block-latest-posts__list is-grid columns-3 wp-block-latest-posts\"><li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/can-final-year-students-apply-for-ssc-cgl\/\">Can Final Year Students Apply for SSC CGL 2026? 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It is a frequently tested geometry topic in<\/p>\n","protected":false},"author":58,"featured_media":244445,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31,10231],"tags":[],"class_list":["post-224489","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-bank-exams","category-ssc-railways","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.6 (Yoast SEO v26.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Trapezium Formulas, Concepts, Strategies, Short Tricks, and Tips<\/title>\n<meta name=\"description\" content=\"Check out the detailed formulas related to trapezium, the types of questions asked, strategies, short tricks, and tips to solve trapezium questions.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.oliveboard.in\/blog\/trapezium\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Trapezium Formulas, Concepts, Strategies, Short Tricks, and Tips\" \/>\n<meta property=\"og:description\" content=\"The Trapezium is a quadrilateral with exactly one pair of parallel sides. It is a frequently tested geometry topic in SSC, Banking, and Railway exams. 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