Question

the perimeter of a square is 56m.the area of a rectangle is 8 sq. m. less then the area of given square. If the length of the rectangle is 16m, find its breadth​

Answer 1

Answer:

Step-by-step 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.