Question

the perimeter of square is 56 m and it is equal to the perimeter of rectangle the length of rectangle is 20 m . find the area of the rectangle.
​

Answer 1

Answer:

47/4m

Step-by-step explanation:

Answer

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= 188/16

b= 47/4m

∴ Breadth of rectangle= 47/4m

Answer 2

Step-by-step explanation:

perimeter of a square-56m

perimeter of a rectangle- 2×[l+b]

2×[20+b]=56m

20m+b=56/2=28

20m+b=28-20

b=8

area of rectangle- l×b

20×8=160m^2