Question

The length and breadth of a rectangular swimming pool in a bungalow ar
125m and 45m respectively. Find the length of another square shape
swimming pool which has the same area as rectangular swimming pool,​

Answer 1

area of rectangle = 125×45 =5625

area of square = (side)2

5625 = side 2

75m = side

Answer 2

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$\text{\large\underline{\orange{Given:-}}}$

$\bold{• \:Length \:of \:the\: pool = 125 m}$

$\bold{•\:Breadth\: of \:the \:pool\: = 45 m}$

• Area of the rectangular pool = Area of the square pool

$\text{\large\underline{\pink{To\:find:-}}}$

• Length of the square shaped pool

$\text{\large\underline{\green{Solution:-}}}$

First of all let's find the area of the rectangular pool

★ Area of rectangle = length × breadth

$→$ Area = 125 × 45

$→$ Area = 5625 m²

$\text{\large\underline{\purple{ Now, we know that}}}$

★ Area of square$\bold{ = (side)²}$

According to the question :

★ Area of rectangle = Area of square

$→$$\bold{5625 = (side)²}$

$→$$\bold{side = √5625}$

$→$$\bold{ side = 75 cm}$

$\text{\large\underline{\green{Therefore∴ }}}$

 Length of the side of the square

 pool is 75 cm.

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