Question

The length of a rectangle is 48 m and its perimeter is 150 m. What will be the perimeter of a square whose

area is equal to this rectangle?​

Answer 1

Answer:

144

Explanation:

150/2=75

breadth {75-48=27

area of rectangle27×48=1296=area of square

√1296=length os side of square=36

perimeter=36×4=144

Answer 2

Given:

Length of rectangle = 48 m

Perimeter of rectangle = 150 m

Area of given rectangle = area of the new square

To find: Perimeter of square

Calculation:

Let 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 $m^{2}$

Area of square = p * p = 1296

p = 36 m

Perimeter of square = 4 * p = 4 * 36 = 144 m

Answer:

Perimeter of square is 144 m.