Question

the length of a rectangular is 48m and perimeter is 150m.what will be the perimeter of square whose area is equal to this rectangle

Answer 1

The  Perimeter of square is 144 m.

Given:

Length of rectangle = 48 m

Perimeter of rectangle = 150 m

To find: Perimeter of square

Solution:

Assuming length of rectangle be l, breadth of rectangle be b and length of square be p.

Perimeter of rectangle = 2 * ( l + b ) = 150

$2 * ( l + b ) = 150\\l + b = 75\\48 + b = 75\\b = 75 - 48 = 27 m$

Breadth of rectangle = 27 m

Area of rectangle = $l * b = 48 * 27 = 1296$

Area of square = $p * p = 1296$
p = 36 m

Perimeter of square = 4 * p
$= p * p = 1296$

= 144 m

Hence the Perimeter of square is 144 m.

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