{"id":4540,"date":"2021-11-25T15:41:11","date_gmt":"2021-11-25T15:41:11","guid":{"rendered":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?page_id=4540"},"modified":"2022-01-03T06:42:21","modified_gmt":"2022-01-03T06:42:21","slug":"area-of-square-formula-derivation-mindspark","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-square-formula-derivation-mindspark\/","title":{"rendered":"AREA OF SQUARE FORMULA, DERIVATION – MINDSPARK."},"content":{"rendered":"

[et_pb_section fb_built=”1″ admin_label=”Section” module_class=”mainsec” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#e0f2fd” z_index=”1″ custom_padding=”5px||5px||true|false” locked=”off” collapsed=”off” global_colors_info=”{}”][et_pb_row column_structure=”3_5,2_5″ custom_padding_last_edited=”on|phone” _builder_version=”4.10.8″ _module_preset=”default” background_color=”#FFFFFF” width=”100%” max_width=”1310px” custom_padding=”|51px|40px|51px|false|true” custom_padding_tablet=”” custom_padding_phone=”|40px|30px|40px|false|true” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}”][et_pb_column type=”3_5″ admin_label=”Column L” _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_text admin_label=”Acute Angles
\n” _builder_version=”4.13.1″ _module_preset=”default” header_font=”|700|||||||” header_text_align=”left” header_font_size=”50px” header_line_height=”1.18em” custom_padding=”|0px||4px|false|false” header_font_size_tablet=”” header_font_size_phone=”35px” header_font_size_last_edited=”on|phone” global_colors_info=”{}”]<\/p>\n

AREA OF SQUARE FORMULA, DERIVATION – MINDSPARK<\/h1>\n

[\/et_pb_text][et_pb_text admin_label=”Text” _builder_version=”4.13.1″ _module_preset=”default” text_font_size=”16px” header_2_font=”|600|||||||” header_2_text_color=”#a01414″ header_3_font=”|600|||||||” custom_padding=”15px|15px|54px|4px|false|false” global_colors_info=”{}”]<\/p>\n

Area of Square<\/strong><\/h2>\n

A square is a quadrilateral with equal sides. A quadrilateral means a figure having four sides. A square has 4 sides where all the sides and angles are equal. The area of a square means the measure of the surface covered by the square, which is equal to the product of its two sides i.e., a^{2}<\/span> <\/span>where a is the side of the square.<\/span><\/p>\n

First, we take a square of side 5 cm. Now we make vertical and horizontal lines of width 1 cm. After following the above steps, it will form a figure as given below.<\/span><\/p>\n

<\/span><\/p>\n

\"\"<\/p>\n

<\/span><\/p>\n

The area of each small square will be 1 \\times 1=1 \\mathrm{~cm}^{2}<\/span>.<\/span><\/p>\n

Since there are 25 small squares in the bigger square, the total area will be 25 \\mathrm{~cm}^{2}<\/span>.<\/span><\/p>\n

Which is also the product of its sides (5 x 5).
<\/span><\/p>\n

After calculating we get the total number of small squares as<\/span><\/p>\n

25=5 \\times 5=a \\times a=a^{2}<\/span><\/span><\/p>\n

Therefore, we can say that area of a square =a \\times a=a^{2}<\/span>.<\/span><\/p>\n

<\/span><\/p>\n

Examples<\/strong><\/h2>\n

1. Find area covered by a square whose side is 10 cm.<\/strong><\/p>\n

Solution:<\/strong><\/p>\n

Area of square =a \\times a=a^{2}<\/span>. <\/span><\/p>\n

Here side of the square is 10 cm.<\/span><\/p>\n

Therefore, the area of the square =10 \\times 10=10^{2}=100 \\mathrm{~cm}^{2}<\/span><\/span><\/p>\n

<\/span><\/p>\n

2. If the area of a square is 625 \\mathrm{~cm}^{2}<\/span><\/strong>then find the side of the square<\/strong>.<\/span><\/p>\n

Solution:<\/strong><\/p>\n

Area of square =a \\times a=a^{2}<\/span><\/span>.<\/span><\/p>\n

It is given that area of the square is 625 \\mathrm{~cm}^{2}<\/span>.<\/span><\/p>\n

a^{2}=625<\/span><\/span><\/p>\n

\\therefore a=\\sqrt{625}=25<\/span>
<\/span><\/p>\n

We get a = 25 cm.<\/span><\/p>\n

Hence side of the square is 25 cm.<\/span><\/p>\n

[\/et_pb_text][\/et_pb_column][et_pb_column type=”2_5″ module_id=”stickysideR” admin_label=”Column R” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#fdefe0″ custom_padding=”25px|25px|25px|25px|true|true” sticky_position=”top” sticky_offset_top=”-280px” sticky_limit_top=”row” sticky_limit_bottom=”row” sticky_position_tablet=”none” sticky_position_phone=”none” sticky_position_last_edited=”on|desktop” sticky_limit_bottom_tablet=”” sticky_limit_bottom_phone=”” sticky_limit_bottom_last_edited=”on|phone” border_radii=”on|15px|15px|15px|15px” box_shadow_style=”preset3″ global_colors_info=”{}”][et_pb_image src=”https:\/\/eistudymaterial.s3.amazonaws.com\/1080×1080.png” alt=”Free Trial banner” title_text=”Mindspark Free Trial Banner” url=”https:\/\/mindspark.in\/free-trial” align=”center” module_class=”adsimg” _builder_version=”4.11.1″ _module_preset=”default” custom_padding=”||||false|false” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}” transform_styles__hover_enabled=”on|hover” transform_scale__hover_enabled=”on|hover” transform_translate__hover_enabled=”on|desktop” transform_rotate__hover_enabled=”on|desktop” transform_skew__hover_enabled=”on|desktop” transform_origin__hover_enabled=”on|desktop” transform_scale__hover=”102%|102%”][\/et_pb_image][et_pb_text admin_label=”Explore Other Topics
\n” _builder_version=”4.9.11″ _module_preset=”default” header_font=”|700|||||||” header_font_size=”25px” text_orientation=”center” custom_margin=”0px||0px||true|false” custom_padding=”8px|15px|0px|15px|false|true” locked=”off” global_colors_info=”{}”]<\/p>\n

Explore Other Topics<\/h1>\n

[\/et_pb_text][et_pb_text _builder_version=”4.10.7″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n

\n
Geometry<\/a><\/div>\n
Trigonometry<\/a><\/div>\n
Operations<\/a><\/div>\n
Numbers<\/a><\/div>\n<\/div>\n

[\/et_pb_text][et_pb_text admin_label=”Related Concepts
\n” _builder_version=”4.9.11″ _module_preset=”default” header_font=”|700|||||||” header_font_size=”25px” text_orientation=”center” custom_margin=”0px||0px||true|false” custom_padding=”8px|15px|0px|15px|false|true” locked=”off” global_colors_info=”{}”]<\/p>\n

Related Concepts<\/h1>\n

[\/et_pb_text][et_pb_text _builder_version=”4.13.1″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n

\n
Area of Square using Diagonal<\/a><\/div>\n
Mensuration Formula<\/a><\/div>\n
What is Square?<\/a><\/div>\n<\/div>\n

[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=”Row for space” _builder_version=”4.10.6″ _module_preset=”default” locked=”off” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.9.11″ _module_preset=”default” global_colors_info=”{}”][et_pb_divider show_divider=”off” _builder_version=”4.10.4″ _module_preset=”default” global_colors_info=”{}”][\/et_pb_divider][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=”1″ admin_label=”banner and faq Section” module_class=”mainsec2″ _builder_version=”4.10.4″ _module_preset=”default” custom_padding=”40px||0px||false|false” global_colors_info=”{}”][et_pb_row use_custom_gutter=”on” gutter_width=”1″ make_equal=”on” disabled_on=”on|on|off” admin_label=”banner Row” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#fff7d6″ width=”100%” max_width=”1310px” height=”134px” custom_margin=”||50px||false|false” custom_padding=”12px||12px||true|false” border_radii=”on|11px|11px|11px|11px” locked=”off” collapsed=”off” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_image src=”https:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/calloutImage.png” title_text=”calloutImage” show_bottom_space=”off” admin_label=”Image” module_class=”img1″ _builder_version=”4.10.8″ _module_preset=”default” width=”25px” height=”60px” custom_padding=”2px||2px||true|false” global_colors_info=”{}”][\/et_pb_image][et_pb_text module_class=”ftstyle” _builder_version=”4.9.10″ _module_preset=”default” text_orientation=”center” global_colors_info=”{}”]<\/p>\n

\n
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Ready to get started ?<\/p>\n<\/div>\n

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Start Free Trial<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n

[\/et_pb_text][et_pb_image src=”https:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/down-circle.png” title_text=”down-circle” show_bottom_space=”off” align=”right” module_class=”img2″ _builder_version=”4.9.10″ _module_preset=”default” width=”44px” height=”18px” custom_padding=”2px||2px||true|false” global_colors_info=”{}”][\/et_pb_image][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=”FAQ Row” _builder_version=”4.13.1″ _module_preset=”default” width=”100%” max_width=”1310px” custom_padding=”|40px||40px|false|true” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.9.11″ _module_preset=”default” global_colors_info=”{}”][et_pb_text admin_label=”FAQ” module_class=”faqstyl” _builder_version=”4.13.1″ _module_preset=”default” text_font_size=”16px” header_font=”|700|||||||” header_text_align=”center” header_line_height=”2.5em” background_color=”#dbedc6″ max_width=”80%” module_alignment=”center” custom_margin=”||||false|false” custom_padding=”30px|25px|30px|25px|true|true” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}”]<\/p>\n

Frequently Asked Questions\u00a0<\/span><\/span><\/h1>\n
    <\/ol>\n

    1. What do you mean by the area of a square?
    <\/strong><\/h3>\n

    Ans: <\/strong>The area of a square means the measure of the total surface covered by the square, which is equal to the product of its two sides which is a^{2}<\/span>.
    <\/span><\/p>\n

    <\/span><\/p>\n

    <\/h3>\n

    2. What is the formula to find the area of a square whose side is a cm?
    <\/strong><\/h3>\n

    Ans: <\/strong>The formula of the area of the square is a \\times a=a^{2}<\/span> where a is the side of the square.<\/p>\n

    [\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"

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