Question

The perimeter of a square is 56m.The area ofrectangle is 8 sq. m. Less than the the area of the given square.If the length of the rectangle is 16 m,find its breath

Answer 1

Let the side of square be a

perimeter of square =4a

Given perimeter=56m

∴4a=56

a=14m

Area of square=(14m)

2

=196 sq.m

Area of rectangle=Area of square−8

=196−8=188 sq.m

Let the length of rectangle be

′

l

′

breadth be

′

b

′

Given l=16m

Area of rectangle=lb=188

⇒16b=188

b=

16

188

b=

4

47

m

∴ Breadth of rectangle=

4

47

m.

Hope it will help u