Question

A rectangular paper is 45m and breadth 5m is cut to form a square with the same area find the side of a square

Answer 1

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A rectangular paper of length 45m and breadth 5m is cut to form a square with the same area. Find the side of the square.

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$\sf{\large{\underline{\red{Answer:-}}}}$

$\rm{\blue{\underline{Finding\:area\:of\:rectangle:-}}}$

➠$\sf{Length\:=\:45m}$

➠$\sf{Breadth\:=\:5m}$

$\boxed{\green{\bf{Area\:of\: rectangle\:=\:length\:*\:breadth}}}$

➠$\sf{Area\:=\:45\:*\:5\:{m}^{2}\:=\:{\underline{\underline{225\:{m}^{2}}}}}$

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➠$\sf{Area\:of\:square\:=\:Area\:of\: rectangle\:=225\:{m}^{2}}$

$\boxed{\green{\bf{Area\:of\:square\:=\:side\:*\:side\:={(side)}^{2}}}}$

➠$\sf{225\:{m}^{2}\:={(side)}^{2}}$

➠$\sf{\sqrt{225\:{m}^{2}}\:=(side)}$

➠$\sf{\sqrt{15m\:*\:15m}\:=(side)}$

➠$\sf{15m\:=\:side}$

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Answer = $\boxed{\red{\bf{15\:m}}}$