Question

The perimeter of a square field is 56cm after expansion the square field has an area of 441cm squared

Answer 1

Explanation:

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.