Question

The ratio between the sides of two squares is 4:11. Find the ratio between their areas​

Answer 1

Answer:

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Answer 2

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• Ratio of sides of squares = 4 : 11

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• Ratio of their areas = ??

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

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$\sf{\red{\boxed{\bold{area = side^2}}}}$

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• let the sides of 4x and 11x

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$\sf:\implies\:{\bold{ Ratio\: of\: area = \dfrac{(4x)^2}{(11x)^2} }}$

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$\sf:\implies\:{\bold{ Ratio\: of\: area = \dfrac{16x^2}{121x^2} }}$

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$\sf:\implies\:{\bold{ Ratio\: of\: area = \dfrac{16}{121} }}$

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$\sf:\implies\:{\bold{ Ratio\: of\: area = 16 : 121 }}$

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• Ratio of areas of squares = 16 : 121