{"id":1771,"date":"2022-04-22T10:07:39","date_gmt":"2022-04-22T10:07:39","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1771"},"modified":"2024-03-26T09:28:33","modified_gmt":"2024-03-26T09:28:33","slug":"rhombus-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rhombus","title":{"rendered":"Rhombus \u2013 Definition, Properties, Area, Perimeter, Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-251fd862-6cd6-4aa6-a3c0-9cc08b0146f1\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rhombus#0-what-is-rhombus>What Is Rhombus?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rhombus#2-real-life-examples-of-a-rhombus-shape>Real-life Examples of a Rhombus Shape<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rhombus#3-properties-of-a-rhombus>Properties of a Rhombus<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rhombus#7-solved-examples-on-rhombus>Solved Examples on Rhombus<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rhombus#8-practice-problems-on-rhombus>Practice Problems on Rhombus<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rhombus#9-faqs-about-rhombus>FAQs about Rhombus<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<h2 class=\"wp-block-heading\" id=\"0-what-is-rhombus\">What Is Rhombus?<\/h2>\n\n\n\n<p>A rhombus is a quadrilateral with four equal sides. Its opposite sides are parallel, and opposite angles are equal.&nbsp;<\/p>\n\n\n\n<p>We know that opposite sides of a parallelogram are equal, a rhombus is a special type of parallelogram with all sides equal. All rhombuses are parallelograms, but not all parallelograms are rhombuses.<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-kite-rhombuses-and-parallelograms\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_rhombus_parallelogram_pt.png\" alt=\"Identify Kite, Rhombuses and Parallelograms Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify Kite, Rhombuses and Parallelograms Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-how-is-a-rhombus-different-from-a-square\">How Is a Rhombus Different from a Square?<\/h2>\n\n\n\n<p>The difference between a&nbsp;<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/square\">square<\/a>&nbsp;and a rhombus is that all&nbsp;<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/angle\">angles<\/a>&nbsp;of a square are right angles, but the angles of a rhombus need not be right angles.&nbsp;<\/p>\n\n\n\n<p>So, a rhombus with four right angles becomes a square.<\/p>\n\n\n\n<p>We can say, \u201c<em>Every square is a rhombus, but all rhombus are not squares.<\/em>\u201d<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"681\" height=\"282\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image8-4.png\" alt=\"Rhombus and square\" class=\"wp-image-4056\" title=\"Rhombus and square\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image8-4.png 681w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image8-4-300x124.png 300w\" sizes=\"auto, (max-width: 681px) 100vw, 681px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"2-real-life-examples-of-a-rhombus-shape\">Real-life Examples of a Rhombus Shape<\/h2>\n\n\n\n<p>You can find rhombus shapes in various everyday objects around us, such as kites, finger rings, rhombus-shaped earrings, the structure of a window glass pane, etc.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"679\" height=\"272\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image5-3.png\" alt=\"Rhombus shapes around us\" class=\"wp-image-4057\" title=\"Rhombus shapes around us\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image5-3.png 679w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image5-3-300x120.png 300w\" sizes=\"auto, (max-width: 679px) 100vw, 679px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-properties-of-a-rhombus\">Properties of a Rhombus<\/h2>\n\n\n\n<p>Some of the important properties of a rhombus are stated below.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"160\" height=\"209\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image6-3.png\" alt=\"Rhombus ABCD\" class=\"wp-image-4058\"\/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>All sides of a rhombus are equal. Here, AB = BC = CD = DA.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/diagonal\">Diagonals<\/a>&nbsp;bisect each other at 90\u00b0. Here, diagonals AC and BD bisect each other at 90\u00b0.<\/li>\n\n\n\n<li>Opposite sides are parallel in a rhombus. Here, AB \u2225 CD and AD \u2225 BC.<\/li>\n\n\n\n<li>Opposite angles are equal in a rhombus. \u2220A = \u2220C and \u2220B = \u2220D.<\/li>\n\n\n\n<li>Adjacent angles add up to 180\u00b0.<\/li>\n<\/ul>\n\n\n\n<p>\u2220A + \u2220B = 180\u00b0<\/p>\n\n\n\n<p>&nbsp; \u2220B + \u2220C = 180\u00b0<\/p>\n\n\n\n<p>&nbsp; \u2220C + \u2220D = 180\u00b0<\/p>\n\n\n\n<p>&nbsp; \u2220A + \u2220D = 180\u00b0<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>All the interior angles of a rhombus add up to 360\u00b0.<\/li>\n\n\n\n<li>Adjacent angles of a rhombus add up to 180\u00b0.<\/li>\n\n\n\n<li>The diagonals of a rhombus are perpendicular to each other. Here, AC \u27c2 BD.<\/li>\n\n\n\n<li>The diagonals of a rhombus bisect each other. Here, DI = BI and AI = CI.<\/li>\n\n\n\n<li>A rhombus has a rotational symmetry of 180 degrees (order 2). A rhombus retains its original orientation when rotated by an angle of 180 degrees.<\/li>\n\n\n\n<li>The diagonals of a rhombus coincide with the 2 lines of symmetry. They divide the rhombus into 2 identical halves.&nbsp;<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"681\" height=\"282\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image7-6.png\" alt=\"Rhombus and its lines of symmetry\" class=\"wp-image-4060\" title=\"Rhombus and its lines of symmetry\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image7-6.png 681w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image7-6-300x124.png 300w\" sizes=\"auto, (max-width: 681px) 100vw, 681px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-rhombus-formulas\">Rhombus Formulas<\/h2>\n\n\n\n<p>Let\u2019s discuss important formulas associated with a rhombus.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"5-area-of-a-rhombus\">Area of a Rhombus<\/h3>\n\n\n\n<p>The area of a rhombus is the region enclosed by the 4 sides of a rhombus.<\/p>\n\n\n\n<p>There are two ways to find the area of a rhombus.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Area of a rhombus when its base and altitude are known<\/strong><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"681\" height=\"282\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image10-5.png\" alt=\"Rhombus with base b and height h\" class=\"wp-image-4061\" title=\"Rhombus with base b and height h\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image10-5.png 681w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image10-5-300x124.png 300w\" sizes=\"auto, (max-width: 681px) 100vw, 681px\" \/><\/figure>\n\n\n\n<p>The area of a rhombus is calculated by finding the product of its base and corresponding altitude (height).&nbsp;<\/p>\n\n\n\n<p>Note that you can choose any of its sides as the base, and the perpendicular distance from this side to the opposite side becomes the height.<\/p>\n\n\n\n<p>Area of rhombus = base \u00d7 height = (<em>b<\/em> \u00d7 <em>h) <\/em>square units.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Area of a rhombus when the lengths of its diagonals are known<\/strong><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"207\" height=\"129\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image9-6.png\" alt=\"Rhombus with diagonals d1 and d2\" class=\"wp-image-4062\" title=\"Rhombus with diagonals d1 and d2\"\/><\/figure>\n\n\n\n<p>When the lengths of the diagonals of a rhombus are known, then its area is given by half of their product.<\/p>\n\n\n\n<p>Area of rhombus $=&nbsp;\\frac{d_{1} \\times d_{2}}{2}$ square units&nbsp;<\/p>\n\n\n\n<p>where<\/p>\n\n\n\n<p>d<sub>1<\/sub> and d<sub>2<\/sub> are the lengths of diagonals of a rhombus.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"6-perimeter-of-rhombus\">Perimeter of Rhombus<\/h3>\n\n\n\n<p>The perimeter of a rhombus is the total length of its boundaries. As all four sides of a rhombus are equal, its perimeter is calculated by multiplying the length of its side by 4.<\/p>\n\n\n\n<p>Perimeter of a rhombus = 4 \u00d7 <em>a<\/em> units<\/p>\n\n\n\n<p>where \u2018<em>a<\/em>\u2019 is the length of the side of the rhombus.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-solved-examples-on-rhombus\">Solved Examples on Rhombus<\/h2>\n\n\n\n<p><strong>Example 1: The lengths of the two diagonals of a rhombus are 18 cm and 12 cm. Find the area of the rhombus.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Diagonal (d<sub>1<\/sub> ) = 18 cm<\/p>\n\n\n\n<p>Diagonal (d<sub>2<\/sub> ) = 12 cm<\/p>\n\n\n\n<p>Area of rhombus $= \\frac{d_{1}\\times d_{2}}{2} = \\frac{18 \\times 12}{2}$ sq. cm $= 108$ sq. cm<\/p>\n\n\n\n<p><strong>Example 2: Find the perimeter of the rhombus if one of its sides measures 15 cm.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Length of a side of the rhombus (<em>a<\/em>) = 15 cm<\/p>\n\n\n\n<p>Perimeter of rhombus = 4 \u00d7 <em>a<\/em> = 4 \u00d7 15 cm = 60 cm<\/p>\n\n\n\n<p><strong>Example 3: The area of a rhombus is 56 sq. cm. If the length of one of its diagonals is 14 cm, find the length of the other diagonal.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Area of rhombus = 56 sq. cm<\/p>\n\n\n\n<p>d<sub>1<\/sub> = 14 cm<\/p>\n\n\n\n<p>Area of rhombus $= \\frac{d_{1} \\times d_{2}}{2}$<\/p>\n\n\n\n<p>\u00a0\u21d2 56 = $\\frac{14\u00a0 \\times d2}{2}$<\/p>\n\n\n\n<p>\u21d2 56 = 7 \u00d7 d2<\/p>\n\n\n\n<p>\u21d2 d2 = 56 \u00f7 7&nbsp;<\/p>\n\n\n\n<p>\u21d2 d2 = 8 cm<\/p>\n\n\n\n<p>So, the second diagonal of the given rhombus measures 8 cm.<\/p>\n\n\n\n<p><strong>Example 4: In a rhombus ABCD, if \u2220A = 60\u00b0, find the measure of remaining angles.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>\u2220A + \u2220B = 180\u00b0 (Adjacent angles adds up to 180\u00b0)<\/p>\n\n\n\n<p>60\u00b0 + \u2220B = 180\u00b0 (Given, <strong>\u2220<\/strong>A = 60\u00b0)<\/p>\n\n\n\n<p>\u2220B = 180\u00b0 \u2013 60\u00b0<\/p>\n\n\n\n<p>\u2220B = 120\u00b0<\/p>\n\n\n\n<p>\u2220C = \u2220A = 60\u00b0 (Opposite angles are equal in a rhombus)<\/p>\n\n\n\n<p>\u2220D = \u2220B = 120\u00b0 (Opposite angles are equal in a rhombus)<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-practice-problems-on-rhombus\">Practice Problems on Rhombus<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Rhombus<\/h2><p style=\"display:none;\">Attend this Quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following quadrilaterals is definitely a rhombus?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Trapezium<\/div><div class=\"spq_answer_block\" data-value=\"1\">Rectangle<\/div><div class=\"spq_answer_block\" data-value=\"2\">Square<\/div><div class=\"spq_answer_block\" data-value=\"3\">Parallelogram<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Square<br\/>All sides of a square are equal, so all squares are rhombus.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">If the length of one of the sides of the rhombus is 10 cm. What will be the length of the opposite side of the given rhombus?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">5 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">10 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">20 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">40 cm<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 10 cm<br\/>All sides of the rhombus are equal in length.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">What will be the altitude of the rhombus, whose area is 320 sq. cm and side is 40 cm?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">4 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">6 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">8 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">10 cm<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 8 cm<br\/>Area = base \u00d7 altitude <br>\r\n\u21d2 320 = 40  \u00d7 altitude <br>\r\n\u21d2 altitude = 320 \u00f7 40 = 8 cm<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The floor area of a room is 500,000 sq. cm. If the floor is to be covered with rhombus-shaped tiles, with each tile having diagonals 40 cm and 25 cm, find the number of tiles required.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">50<\/div><div class=\"spq_answer_block\" data-value=\"1\">500<\/div><div class=\"spq_answer_block\" data-value=\"2\">1000<\/div><div class=\"spq_answer_block\" data-value=\"3\">5000<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 1000<br\/>Area of floor = 500,000 sq. cm<br>\r\nArea of each rhombus-shaped tile = $\\frac{d_{1} \\times d_{2}}{2}$ = $\\frac{40 \\times 25}{2}$ = 500 sq. cm<br>\r\nNumber of tiles = Area of floor \u00f7 Area of 1 tile <br>\r\n  = 500,000 \u00f7 500 <br>\r\n  = 1,000 tiles<br>\r\nSo, 1,000 tiles are required to cover the floor.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this Quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Rhombus\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Rhombus\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following quadrilaterals is definitely a rhombus?\",\n                    \"text\": \"Which of the following quadrilaterals is definitely a rhombus?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"All sides of a square are equal, so all squares are rhombus.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Trapezium\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All sides of a square are equal, so all squares are rhombus.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Rectangle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All sides of a square are equal, so all squares are rhombus.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Parallelogram\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All sides of a square are equal, so all squares are rhombus.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Square\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"All sides of a square are equal, so all squares are rhombus.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"All sides of a square are equal, so all squares are rhombus.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If the length of one of the sides of the rhombus is 10 cm. What will be the length of the opposite side of the given rhombus?\",\n                    \"text\": \"If the length of one of the sides of the rhombus is 10 cm. What will be the length of the opposite side of the given rhombus?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"All sides of the rhombus are equal in length.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All sides of the rhombus are equal in length.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"20 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All sides of the rhombus are equal in length.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"40 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All sides of the rhombus are equal in length.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"10 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"All sides of the rhombus are equal in length.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"All sides of the rhombus are equal in length.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What will be the altitude of the rhombus, whose area is 320 sq. cm and side is 40 cm?\",\n                    \"text\": \"What will be the altitude of the rhombus, whose area is 320 sq. cm and side is 40 cm?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area = base \u00d7 altitude <br>\r\n\u21d2 320 = 40  \u00d7 altitude <br>\r\n\u21d2 altitude = 320 \u00f7 40 = 8 cm\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area = base \u00d7 altitude <br>\r\n\u21d2 320 = 40  \u00d7 altitude <br>\r\n\u21d2 altitude = 320 \u00f7 40 = 8 cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area = base \u00d7 altitude <br>\r\n\u21d2 320 = 40  \u00d7 altitude <br>\r\n\u21d2 altitude = 320 \u00f7 40 = 8 cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area = base \u00d7 altitude <br>\r\n\u21d2 320 = 40  \u00d7 altitude <br>\r\n\u21d2 altitude = 320 \u00f7 40 = 8 cm\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"8 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area = base \u00d7 altitude <br>\r\n\u21d2 320 = 40  \u00d7 altitude <br>\r\n\u21d2 altitude = 320 \u00f7 40 = 8 cm\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area = base \u00d7 altitude <br>\r\n\u21d2 320 = 40  \u00d7 altitude <br>\r\n\u21d2 altitude = 320 \u00f7 40 = 8 cm\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The floor area of a room is 500,000 sq. cm. If the floor is to be covered with rhombus-shaped tiles, with each tile having diagonals 40 cm and 25 cm, find the number of tiles required.\",\n                    \"text\": \"The floor area of a room is 500,000 sq. cm. If the floor is to be covered with rhombus-shaped tiles, with each tile having diagonals 40 cm and 25 cm, find the number of tiles required.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of floor = 500,000 sq. cm<br>\r\nArea of each rhombus-shaped tile = $$\\\\frac{d_{1} \\\\times d_{2}}{2}$$ = $$\\\\frac{40 \\\\times 25}{2}$$ = 500 sq. cm<br>\r\nNumber of tiles = Area of floor \u00f7 Area of 1 tile <br>\r\n  = 500,000 \u00f7 500 <br>\r\n  = 1,000 tiles<br>\r\nSo, 1,000 tiles are required to cover the floor.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"50\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of floor = 500,000 sq. cm<br>\r\nArea of each rhombus-shaped tile = $$\\\\frac{d_{1} \\\\times d_{2}}{2}$$ = $$\\\\frac{40 \\\\times 25}{2}$$ = 500 sq. cm<br>\r\nNumber of tiles = Area of floor \u00f7 Area of 1 tile <br>\r\n  = 500,000 \u00f7 500 <br>\r\n  = 1,000 tiles<br>\r\nSo, 1,000 tiles are required to cover the floor.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"500\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of floor = 500,000 sq. cm<br>\r\nArea of each rhombus-shaped tile = $$\\\\frac{d_{1} \\\\times d_{2}}{2}$$ = $$\\\\frac{40 \\\\times 25}{2}$$ = 500 sq. cm<br>\r\nNumber of tiles = Area of floor \u00f7 Area of 1 tile <br>\r\n  = 500,000 \u00f7 500 <br>\r\n  = 1,000 tiles<br>\r\nSo, 1,000 tiles are required to cover the floor.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5000\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of floor = 500,000 sq. cm<br>\r\nArea of each rhombus-shaped tile = $$\\\\frac{d_{1} \\\\times d_{2}}{2}$$ = $$\\\\frac{40 \\\\times 25}{2}$$ = 500 sq. cm<br>\r\nNumber of tiles = Area of floor \u00f7 Area of 1 tile <br>\r\n  = 500,000 \u00f7 500 <br>\r\n  = 1,000 tiles<br>\r\nSo, 1,000 tiles are required to cover the floor.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"1000\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of floor = 500,000 sq. cm<br>\r\nArea of each rhombus-shaped tile = $$\\\\frac{d_{1} \\\\times d_{2}}{2}$$ = $$\\\\frac{40 \\\\times 25}{2}$$ = 500 sq. cm<br>\r\nNumber of tiles = Area of floor \u00f7 Area of 1 tile <br>\r\n  = 500,000 \u00f7 500 <br>\r\n  = 1,000 tiles<br>\r\nSo, 1,000 tiles are required to cover the floor.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of floor = 500,000 sq. cm<br>\r\nArea of each rhombus-shaped tile = $$\\\\frac{d_{1} \\\\times d_{2}}{2}$$ = $$\\\\frac{40 \\\\times 25}{2}$$ = 500 sq. cm<br>\r\nNumber of tiles = Area of floor \u00f7 Area of 1 tile <br>\r\n  = 500,000 \u00f7 500 <br>\r\n  = 1,000 tiles<br>\r\nSo, 1,000 tiles are required to cover the floor.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-faqs-about-rhombus\">FAQs about Rhombus<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-48120817-9e5b-4ecb-a9d9-6c363e40a5e1\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-48120817-9e5b-4ecb-a9d9-6c363e40a5e1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-48120817-9e5b-4ecb-a9d9-6c363e40a5e1\"><strong>What are the basic properties of a rhombus?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-48120817-9e5b-4ecb-a9d9-6c363e40a5e1\">\n\n<ul class=\"wp-block-list\">\n<li>All sides are equal in length.<\/li>\n\n\n\n<li>Opposite angles are equal in a rhombus.<\/li>\n\n\n\n<li>The diagonals bisect each other at 90 degrees.<\/li>\n\n\n\n<li>Adjacent angles add up to 180 degrees.<\/li>\n<\/ul>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-48120817-9e5b-4ecb-a9d9-6c363e40a5e1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-48120817-9e5b-4ecb-a9d9-6c363e40a5e1\"><strong>Is a rhombus a regular polygon?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-48120817-9e5b-4ecb-a9d9-6c363e40a5e1\">\n\n<p>No, a rhombus is not a regular polygon. A regular polygon must have the measure of all its angles the same (equal).<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-48120817-9e5b-4ecb-a9d9-6c363e40a5e1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-48120817-9e5b-4ecb-a9d9-6c363e40a5e1\"><strong>The diagonals of a rhombus divide the shape into which shapes?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-48120817-9e5b-4ecb-a9d9-6c363e40a5e1\">\n\n<p>The two diagonals of a rhombus form four right-angled triangles.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-48120817-9e5b-4ecb-a9d9-6c363e40a5e1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-48120817-9e5b-4ecb-a9d9-6c363e40a5e1\"><strong>Is a kite shaped like a rhombus?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-48120817-9e5b-4ecb-a9d9-6c363e40a5e1\">\n\n<p>No, a kite shape is not a rhombus. Rhombus has all its sides of equal length whereas kite 2 pairs of equal adjacent sides.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Is Rhombus? A rhombus is a quadrilateral with four equal sides. Its opposite sides are parallel, and opposite angles are equal.&nbsp; We know that opposite sides of a parallelogram are equal, a rhombus is a special type of parallelogram with all sides equal. All rhombuses are parallelograms, but not all parallelograms are rhombuses. Recommended &#8230; <a title=\"Rhombus \u2013 Definition, Properties, Area, Perimeter, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rhombus\" aria-label=\"More on Rhombus \u2013 Definition, Properties, Area, Perimeter, Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1771","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1771","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=1771"}],"version-history":[{"count":30,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1771\/revisions"}],"predecessor-version":[{"id":41179,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1771\/revisions\/41179"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1771"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1771"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1771"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}