{"id":1733,"date":"2021-09-08T10:34:34","date_gmt":"2021-09-08T10:34:34","guid":{"rendered":"http:\/\/stgwebsite.mindspark.in\/wordpress\/?page_id=1733"},"modified":"2022-03-04T08:08:31","modified_gmt":"2022-03-04T08:08:31","slug":"area-of-rhombus","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-rhombus\/","title":{"rendered":"Area of Rhombus &#8211; Formula, Derivation and Solved Examples"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; module_class=&#8221;mainsec&#8221; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#e0f2fd&#8221; z_index=&#8221;1&#8243; custom_padding=&#8221;5px||5px||true|false&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_row column_structure=&#8221;3_5,2_5&#8243; custom_padding_last_edited=&#8221;on|phone&#8221; _builder_version=&#8221;4.10.6&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#FFFFFF&#8221; width=&#8221;100%&#8221; max_width=&#8221;1310px&#8221; custom_padding=&#8221;|51px|0px|51px|false|true&#8221; custom_padding_tablet=&#8221;&#8221; custom_padding_phone=&#8221;|40px|30px|40px|false|true&#8221; border_radii=&#8221;on|10px|10px|10px|10px&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;3_5&#8243; admin_label=&#8221;Column L&#8221; _builder_version=&#8221;4.9.10&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text admin_label=&#8221;Acute Angles<br \/>\n&#8221; _builder_version=&#8221;4.10.6&#8243; _module_preset=&#8221;default&#8221; header_font=&#8221;|700|||||||&#8221; header_text_align=&#8221;left&#8221; header_font_size=&#8221;50px&#8221; header_line_height=&#8221;1.18em&#8221; custom_padding=&#8221;|0px||4px|false|false&#8221; header_font_size_tablet=&#8221;&#8221; header_font_size_phone=&#8221;35px&#8221; header_font_size_last_edited=&#8221;on|phone&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1>Area of Rhombus<\/h1>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.11.1&#8243; _module_preset=&#8221;default&#8221; text_font_size=&#8221;16px&#8221; header_2_text_color=&#8221;gcid-70a40ab1-38f4-4842-b1ac-1e69b0045607&#8243; custom_padding=&#8221;|15px||4px|false|false&#8221; global_colors_info=&#8221;{%22gcid-70a40ab1-38f4-4842-b1ac-1e69b0045607%22:%91%22header_2_text_color%22%93}&#8221;]<\/p>\n<h2><span style=\"color: #800000;\"><strong>Definition<\/strong><\/span><\/h2>\n<p>Rhombus is a parallelogram whose all sides are equal, and its diagonals bisect each other at right angles. Now that we know what a rhombus is, we can understand what the area of rhombus signifies. Its area refers to the two-dimensional space enclosed by all the four sides of it on a 2-D plane.[\/et_pb_text][et_pb_text _builder_version=&#8221;4.10.6&#8243; _module_preset=&#8221;default&#8221; text_font_size=&#8221;16px&#8221; custom_padding=&#8221;|15px||4px|false|false&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h2><strong><span style=\"color: #800000;\">Formula<\/span><\/strong><\/h2>\n<p>For calculating the area of the rhombus, different parameters are used depending on the data available in the question. Its area generally is formulated through three cases as given below:<\/p>\n<ol>\n<li>When the length of the diagonals of a rhombus is given<\/li>\n<li>When its base along with the height is given<\/li>\n<li>When one of its sides and an interior angle is given<\/li>\n<\/ol>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.13.1&#8243; _module_preset=&#8221;default&#8221; text_font_size=&#8221;16px&#8221; background_color=&#8221;#FFFFFF&#8221; custom_padding=&#8221;|15px||4px|false|false&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h2><strong><span style=\"color: #800000;\">Derivation<\/span><\/strong><\/h2>\n<h3><span style=\"color: #808080;\"><strong>1. When the length of the diagonals of a rhombus is given<\/strong><\/span><\/h3>\n<p>Let ABCD be a rhombus with the length of the diagonals \u2018d1\u2019 &amp; \u2018d2\u2019. As mentioned earlier in the definition, the diagonals of a rhombus bisect each other at right angles. In the given figure, we can see that:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1729 alignnone size-full\" src=\"http:\/\/mindspark.in\/studymaterial\/wp-content\/uploads\/2021\/09\/Rhombus_1.jpg\" alt=\"\" width=\"279\" height=\"278\" srcset=\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-content\/uploads\/2021\/09\/Rhombus_1.jpg 279w, https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-content\/uploads\/2021\/09\/Rhombus_1-150x150.jpg 150w\" sizes=\"(max-width: 279px) 100vw, 279px\" \/><\/p>\n<p>\u2206 AOB \u2245 \u2206 AOD through S-S-S congruency condition as,<\/p>\n<ul>\n<li>DO=BO (diagonals of a rhombus bisect each other)<\/li>\n<li>AO ( Common side)<\/li>\n<li>AD=AB (sides of a rhombus are equal in length)<\/li>\n<\/ul>\n<p>Similarly, it can be proved that the \u2206 AOB, \u2206 AOD, \u2206 BCD, \u2206 DOC are congruent to each other.<\/p>\n<p>Area of ABCD = Area of (\u2206 AOB + \u2206 AOD + \u2206 BCD + \u2206 DOC)<\/p>\n<p>= 4 \u00d7 area of \u2206 AOB\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (since all the triangles are congruent, there area is equal)<\/p>\n<p>= 4 \u00d7 (\u00bd) \u00d7 AO \u00d7 OB sq. units<\/p>\n<p>= 4 \u00d7 (\u00bd) \u00d7 (\u00bd) d<sub>1<\/sub>\u00a0\u00d7 (\u00bd) d<sub>2<\/sub>\u00a0sq. units\u00a0\u00a0 (area of a right angled triangle= \u00bd x base x height)<\/p>\n<p>= 4 \u00d7 (1\/8) d<sub>1<\/sub>\u00a0\u00d7 d<sub>2<\/sub>\u00a0square units<\/p>\n<p>= \u00bd \u00d7 d<sub>1<\/sub>\u00a0\u00d7 d<sub>2<\/sub><\/p>\n<table style=\"height: 49px; width: 54.8096%; border-style: solid; border-color: red;\" width=\"17.4349%\">\n<tbody>\n<tr>\n<td style=\"width: 100%;\">Area = \u00bd \u00d7 d<sub>1<\/sub>\u00a0\u00d7 d<sub>2<\/sub><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span style=\"color: #808080;\"><strong>2. When its base along with the height is given<\/strong><\/span><\/h3>\n<p>Let ABCD be a rhombus with the length of base \u2018b\u2019 and height \u2018h\u2019. As mentioned earlier in the definition, we know that a rhombus is a parallelogram. We can use the area formula of parallelogram learnt earlier to formulate the area of the rhombus.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1730 alignnone size-full\" src=\"http:\/\/mindspark.in\/studymaterial\/wp-content\/uploads\/2021\/09\/Picture1.png\" alt=\"Rhombus as a parallelogram\" width=\"177\" height=\"138\" \/><\/p>\n<p>Area of a parallelogram = base x height<\/p>\n<p>Since rhombus is one special kind of parallelogram, this also applies to it.<\/p>\n<table style=\"height: 49px; width: 57.014%; border-color: red; border-style: solid;\" width=\"25.4509%\">\n<tbody>\n<tr>\n<td style=\"width: 100%;\">Area of rhombus ABCD = b x h<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span style=\"color: #800000;\"><strong>\u00a0<span style=\"color: #808080;\">3. When one of its sides and an interior angle is given<\/span><\/strong><\/span><\/h3>\n<p>Let ABCD be a rhombus with given side \u2018a\u2019 and interior angle \u2018\u0473\u2019. We know from our earlier lessons that the area of a triangle when two of its sides say &#8216;a&#8217;, &#8216;b&#8217; and included interior angle \u2018\u0472\u2019 is calculated as,<\/p>\n<p>Area of the triangle = \u00bd x a x b x sin (\u0472)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1731 alignnone size-full\" src=\"http:\/\/mindspark.in\/studymaterial\/wp-content\/uploads\/2021\/09\/Rhombus.png\" alt=\"Rhombus with angles marked\" width=\"138\" height=\"140\" \/><\/p>\n<p>Now in the given figure, we can see that area of ABCD is the sum of areas of \u0394ABD &amp; area of \u0394BDC.<\/p>\n<p>Area of the rhombus ABCD = area of \u0394ABD + area of \u0394BDC<\/p>\n<p>= (1\/2) x a x a x Sin (\u0472) + (1\/2) x a x a x Sin (\u0472) {area of a triangle as mentioned earlier}<\/p>\n<p>= a<sup>2<\/sup>Sin (\u0472)<\/p>\n<table style=\"height: 45px; width: 79.2588%; border-style: solid; border-color: red;\" width=\"14.1283%\">\n<tbody>\n<tr>\n<td>Area = a<sup>2<\/sup>Sin (\u0472)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;[\/et_pb_text][et_pb_text _builder_version=&#8221;4.10.6&#8243; _module_preset=&#8221;default&#8221; text_font_size=&#8221;16px&#8221; custom_padding=&#8221;|15px||4px|false|false&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h2><span style=\"color: #800000;\"><strong>Calculation Steps:<\/strong><\/span><\/h2>\n<ol>\n<li>When diagonals of the rhombus are given, half of their product gives the Area.<\/li>\n<li>When the base of the rhombus &amp; height is given, their multiplication gives the area.<\/li>\n<li>When the angle along with a side of the Rhombus is given, the product of the square of the side &amp; sin of the angle gives the area enclosed.<\/li>\n<\/ol>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.10.6&#8243; _module_preset=&#8221;default&#8221; border_width_all=&#8221;2px&#8221; border_color_all=&#8221;#E02B20&#8243; global_colors_info=&#8221;{}&#8221;]<\/p>\n<table style=\"width: 100%; border-collapse: collapse;\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 100%;\">D1 = 1\/2 X D1 X D2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.10.6&#8243; _module_preset=&#8221;default&#8221; text_font_size=&#8221;16px&#8221; custom_padding=&#8221;|15px||4px|false|false&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h2><span style=\"color: #800000;\"><strong>Solved Examples:<\/strong><\/span><\/h2>\n<p><strong>Q1-<\/strong> What is the area of the rhombus whose length of the sides is 4cm and height is 2cm?<\/p>\n<table style=\"width: 50%; border-style: solid; border-color: red; margin-left: auto; margin-right: auto;\" width=\"50%\">\n<tbody>\n<tr style=\"height: 96px;\">\n<td style=\"height: 96px; width: 100%;\">\n<p style=\"text-align: left;\">Area = b x h<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Answer:<\/strong> Since the side &amp; angle of the rhombus is given, we can use the area formula involving side &amp; height that is:<\/p>\n<p>Using this, A = 4cm x 2cm = 8cm<sup>2<\/sup><\/p>\n<table style=\"border-style: solid; width: 50%; border-color: red;\" width=\"50%\">\n<tbody>\n<tr>\n<td>Area = a<sup>2<\/sup>Sin (\u0472)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Q2-<\/strong> Find the area of a rhombus whose one of the angles is 30 degrees and side is 4 cm.<\/p>\n<p><strong>Answer:<\/strong> With the rhombus\u2019s angle and side given in the question, we can use the area formula,<\/p>\n<p>Using this, A = 4<sup>2<\/sup> x Sin (30) = 8cm<sup>2<\/sup><\/p>\n<table style=\"border-style: solid; width: 50%; border-color: red;\" width=\"50%\">\n<tbody>\n<tr>\n<td>Area = \u00bd \u00d7 d<sub>1<\/sub>\u00a0\u00d7 d<sub>2<\/sub><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Q3-<\/strong> Find the area enclosed by a rhombus with diagonals 8cm and 6cm.<\/p>\n<p><strong>Answer:<\/strong> Area of a rhombus with diagonals d1 &amp; d2 is given by,<\/p>\n<p>Using this, A= \u00bd x 8 x 6 = 24cm<sup>2<\/sup><\/p>\n<h2><\/h2>\n<h2><\/h2>\n<h2><\/h2>\n<h2><span style=\"color: #800000;\"><strong>Applications:<\/strong><\/span><\/h2>\n<ol>\n<li>Automobile Industry makes use of the shape of a rhombus for designing windows.<\/li>\n<li>It finds its use in mirrors of the vehicle.<\/li>\n<li>The kites made are always in the shape of the rhombus.<\/li>\n<\/ol>\n<p>[\/et_pb_text][et_pb_text admin_label=&#8221;Sample Questions<br \/>\n&#8221; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; header_font=&#8221;|700|||||||&#8221; header_font_size=&#8221;28px&#8221; custom_padding=&#8221;|0px||4px|false|false&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1>Practice Multiple Choice Questions<\/h1>\n<p>[\/et_pb_text][et_pb_text admin_label=&#8221;Question 1&#8243; _builder_version=&#8221;4.10.6&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#FFFFFF&#8221; custom_padding=&#8221;25px|25px|25px|25px|true|true&#8221; border_radii=&#8221;on|15px|15px|15px|15px&#8221; border_width_top=&#8221;3px&#8221; border_color_top=&#8221;#E02B20&#8243; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div class=\"qmanage\">\n<div class=\"qq\">\n<p><b>Question:<br \/>\n<\/b>PQRS is a rhombus. Each of its sides is 20 cm long, diagonal PR is 32 cm long and diagonal QS is 24 cm.<\/p>\n<p><img decoding=\"async\" src=\"http:\/\/www.educationalinitiatives.com\/detailed_assessment\/images\/DAM_50824.jpg\" \/><\/p>\n<p>What is the area of PQRS?<\/p>\n<p>1. 384 cm\u00b2<br \/>\n2. 400 cm\u00b2<br \/>\n3. 560 cm\u00b2<br \/>\n4. 768 cm\u00b2<\/p>\n<\/div>\n<div class=\"qsubmit\">\n<p><span style=\"color: #800000;\"><b>Type your answer option :<\/b> <\/span><input class=\"submitted-answer\" type=\"text\" \/><\/p>\n<div class=\"ansicon-wrong sp-icon\"><\/div>\n<div class=\"ansicon-right sp-icon\"><\/div>\n<\/div>\n<div class=\"qa\"><span id=\"showq\" class=\"leftspace\"><b>Answer:<\/b><span class=\"right-ans\"> 1<\/span><\/span><\/div>\n<p><button class=\"qbtn\" disabled=\"disabled\">Show Answer<\/button><\/p>\n<\/div>\n<p>[\/et_pb_text][et_pb_text admin_label=&#8221;Question 1&#8243; _builder_version=&#8221;4.10.6&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#FFFFFF&#8221; custom_padding=&#8221;25px|25px|25px|25px|true|true&#8221; border_radii=&#8221;on|15px|15px|15px|15px&#8221; border_width_top=&#8221;3px&#8221; border_color_top=&#8221;#E02B20&#8243; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div class=\"qmanage\">\n<div class=\"qq\"><b>Question.<\/b><br \/>\nThe area of a rhombus is 40 sq cm. If one of its diagonals is 8 cm, the other diagonal is<br \/>\n1. 5 cm<br \/>\n2. 8 cm<br \/>\n3. 10 cm<br \/>\n4. 20 cm<\/div>\n<div class=\"qsubmit\">\n<p><span style=\"color: #800000;\"><b>Type your answer option :<\/b><\/span> <input class=\"submitted-answer\" type=\"text\" \/><\/p>\n<div class=\"ansicon-wrong sp-icon\"><\/div>\n<div class=\"ansicon-right sp-icon\"><\/div>\n<\/div>\n<div class=\"qa\"><span id=\"showq\" class=\"leftspace\"><b>Answer:<\/b><span class=\"right-ans\"> 3<\/span><\/span><\/div>\n<p><button class=\"qbtn\" disabled=\"disabled\">Show Answer<\/button><\/p>\n<\/div>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.10.6&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;]<span class=\"katex-eq\" data-katex-display=\"false\"> (\u00bd x d x h1) + (\u00bd x d x h2) <\/span>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;2_5&#8243; module_id=&#8221;stickysideR&#8221; admin_label=&#8221;Column R&#8221; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#fdefe0&#8243; custom_padding=&#8221;25px|25px|25px|25px|true|true&#8221; sticky_position=&#8221;top&#8221; sticky_offset_top=&#8221;-280px&#8221; sticky_limit_top=&#8221;row&#8221; sticky_limit_bottom=&#8221;row&#8221; sticky_position_tablet=&#8221;none&#8221; sticky_position_phone=&#8221;none&#8221; sticky_position_last_edited=&#8221;on|desktop&#8221; sticky_limit_bottom_tablet=&#8221;&#8221; sticky_limit_bottom_phone=&#8221;&#8221; sticky_limit_bottom_last_edited=&#8221;on|phone&#8221; border_radii=&#8221;on|15px|15px|15px|15px&#8221; box_shadow_style=&#8221;preset3&#8243; global_colors_info=&#8221;{}&#8221;][et_pb_image src=&#8221;https:\/\/eistudymaterial.s3.amazonaws.com\/1080&#215;1080.png&#8221; alt=&#8221;Free Trial banner&#8221; title_text=&#8221;Mindspark Free Trial Banner&#8221; url=&#8221;https:\/\/mindspark.in\/free-trial&#8221; align=&#8221;center&#8221; module_class=&#8221;adsimg&#8221; _builder_version=&#8221;4.11.1&#8243; _module_preset=&#8221;default&#8221; custom_padding=&#8221;||||false|false&#8221; border_radii=&#8221;on|10px|10px|10px|10px&#8221; global_colors_info=&#8221;{}&#8221; transform_styles__hover_enabled=&#8221;on|hover&#8221; transform_scale__hover_enabled=&#8221;on|hover&#8221; transform_translate__hover_enabled=&#8221;on|desktop&#8221; transform_rotate__hover_enabled=&#8221;on|desktop&#8221; transform_skew__hover_enabled=&#8221;on|desktop&#8221; transform_origin__hover_enabled=&#8221;on|desktop&#8221; transform_scale__hover=&#8221;102%|102%&#8221;][\/et_pb_image][et_pb_text admin_label=&#8221;Explore Other Topics<br \/>\n&#8221; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; header_font=&#8221;|700|||||||&#8221; header_font_size=&#8221;25px&#8221; text_orientation=&#8221;center&#8221; custom_margin=&#8221;0px||0px||true|false&#8221; custom_padding=&#8221;8px|15px|0px|15px|false|true&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1>Explore Other Topics<\/h1>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.10.7&#8243; _module_preset=&#8221;default&#8221; text_line_height=&#8221;2.2em&#8221; link_font_size=&#8221;16px&#8221; custom_margin=&#8221;||0px||false|false&#8221; custom_padding=&#8221;10px|15px|10px|28px|true|false&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div>\n<div class=\"trr\"><a href=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#geometry\" class=\"otherc\">Geometry<\/a><\/div>\n<div class=\"trr\"><a href=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#trigonometry\" class=\"otherc\">Trigonometry<\/a><\/div>\n<div class=\"trr\"><a href=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#operations\" class=\"otherc\">Operations<\/a><\/div>\n<div class=\"trr\"><a href=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#numbers\" class=\"otherc\">Numbers<\/a><\/div>\n<\/div>\n<p>[\/et_pb_text][et_pb_text admin_label=&#8221;Related Concepts<br \/>\n&#8221; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; header_font=&#8221;|700|||||||&#8221; header_font_size=&#8221;25px&#8221; text_orientation=&#8221;center&#8221; custom_margin=&#8221;0px||0px||true|false&#8221; custom_padding=&#8221;8px|15px|0px|15px|false|true&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1>Related Concepts<\/h1>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; text_line_height=&#8221;2.2em&#8221; link_font_size=&#8221;16px&#8221; custom_margin=&#8221;||0px||false|false&#8221; custom_padding=&#8221;10px|15px|10px|28px|true|false&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div>\n<div class=\"trr\"><a class=\"otherc\" href=\"#\">Obtuse angle<\/a><\/div>\n<div class=\"trr\"><a class=\"otherc\" href=\"#\">Reflex angle<\/a><\/div>\n<\/div>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=&#8221;Row for space&#8221; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; 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width=&#8221;100%&#8221; max_width=&#8221;1310px&#8221; height=&#8221;134px&#8221; custom_margin=&#8221;||50px||false|false&#8221; custom_padding=&#8221;12px||12px||true|false&#8221; border_radii=&#8221;on|11px|11px|11px|11px&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.9.10&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_image src=&#8221;https:\/\/mindspark.in\/assets\/images\/calloutImage.svg&#8221; title_text=&#8221;calloutImage&#8221; show_bottom_space=&#8221;off&#8221; module_class=&#8221;img1&#8243; _builder_version=&#8221;4.13.1&#8243; _module_preset=&#8221;default&#8221; width=&#8221;25px&#8221; height=&#8221;60px&#8221; custom_padding=&#8221;2px||2px||true|false&#8221; hover_enabled=&#8221;0&#8243; global_colors_info=&#8221;{}&#8221; sticky_enabled=&#8221;0&#8243;][\/et_pb_image][et_pb_text module_class=&#8221;ftstyle&#8221; _builder_version=&#8221;4.9.10&#8243; _module_preset=&#8221;default&#8221; text_orientation=&#8221;center&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div class=\"ffmanage\">\n<div class=\"textmanagestyle\">\n<div class=\"fone\">\n<p>Ready to get started ?<\/p>\n<\/div>\n<div class=\"sone\">\n<p class=\"ffbtn\"><a href=\"https:\/\/mindspark.in\/free-trial\">Start Free Trial<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>[\/et_pb_text][et_pb_image src=&#8221;https:\/\/mindspark.in\/assets\/images\/down-circle.svg&#8221; title_text=&#8221;down-circle&#8221; show_bottom_space=&#8221;off&#8221; align=&#8221;right&#8221; module_class=&#8221;img2&#8243; _builder_version=&#8221;4.13.1&#8243; _module_preset=&#8221;default&#8221; width=&#8221;44px&#8221; height=&#8221;18px&#8221; custom_padding=&#8221;2px||2px||true|false&#8221; hover_enabled=&#8221;0&#8243; global_colors_info=&#8221;{}&#8221; sticky_enabled=&#8221;0&#8243;][\/et_pb_image][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=&#8221;FAQ Row&#8221; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; width=&#8221;100%&#8221; max_width=&#8221;1310px&#8221; custom_padding=&#8221;|40px||40px|false|true&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text admin_label=&#8221;FAQ&#8221; module_class=&#8221;faqstyl&#8221; _builder_version=&#8221;4.10.6&#8243; _module_preset=&#8221;default&#8221; text_font_size=&#8221;16px&#8221; header_font=&#8221;|700|||||||&#8221; header_text_align=&#8221;center&#8221; header_line_height=&#8221;2.5em&#8221; background_color=&#8221;#dbedc6&#8243; max_width=&#8221;80%&#8221; module_alignment=&#8221;center&#8221; custom_margin=&#8221;||||false|false&#8221; custom_padding=&#8221;30px|25px|30px|25px|true|true&#8221; border_radii=&#8221;on|10px|10px|10px|10px&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1>Frequently Asked Questions<\/h1>\n<p><strong>Q1.<\/strong> What is the perimeter of a rhombus?<br \/>\n<strong>Answer:<\/strong> The perimeter of a rhombus with side &#8216;a&#8217; is the sum of all four sides of it, that is, 4a.<\/p>\n<p><strong>Q2.<\/strong> Are all angles of a rhombus equal?<br \/>\n<strong>Answer: <\/strong>No. Only the opposite angles of a rhombus are equal.<\/p>\n<p><strong>Q3.<\/strong> Do the diagonals measure the same in length in the case of a rhombus?<br \/>\n<strong>Answer:<\/strong> The diagonals of a rhombus are of different lengths in measure.<\/p>\n<p><strong>Q4.<\/strong> How to find the area of a rhombus when its base and height are given?<br \/>\n<strong>Answer:<\/strong> Area enclosed by four sides of a rhombus when base and height are given is base x height.<\/p>\n<p><strong>Q5.<\/strong> What is the area of a rhombus whose interior angle is \u0472 and side is \u2018a\u2019?<br \/>\n<strong>Answer:<\/strong> When the interior angle between two sides of a rhombus is \u0472 and side is &#8216;a&#8217; then area = a<sup>2<\/sup>Sin (\u0472)<\/p>\n<p><strong>Q6.<\/strong> In case the diagonals of a rhombus are d1 &amp; d2, how to calculate the area enclosed in it?<br \/>\n<strong>Answer:<\/strong>\u00a0 If the diagonals of a rhombus are d1 &amp; d2, Area = \u00bd x d1 x d2.<br \/>\n[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Area of Rhombus Definition Rhombus is a parallelogram whose all sides are equal, and its diagonals bisect each other at right angles. Now that we know what a rhombus is, we can understand what the area of rhombus signifies. Its area refers to the two-dimensional space enclosed by all the four sides of it on [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":714,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Area of Rhombus - Formula, Derivation and Solved Examples - mydomain<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-rhombus\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Area of Rhombus - Formula, Derivation and Solved Examples - mydomain\" \/>\n<meta property=\"og:description\" content=\"Area of Rhombus Definition Rhombus is a parallelogram whose all sides are equal, and its diagonals bisect each other at right angles. 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