Question

the area of a square and a rectangle are equal if the side of the square is 40 cm and the breadth of the rectangle is 25 cm find the length of the rectangle also find the perimeter of the rectangle

Answer 1

Area of square =side*side
Area of rectangle =l*b
So,side×side=l×b. (Because areas are equal)
Side of squre is 40cm,breath of rectangle is25 cm

40×40=25×l
40×40/25=l
64cm=l,
Primeter of rectangle=2l+b
2(25+64)=178cm

Answer 2

Area of Square =
${x}^{2}$
so area of square =40×40
= 1600
As Given
Area of square =Area of rectangle
So
Area of rectangle =1600
L×B=1600
Given B=25
then
L×25=1600
L = 1600/25
= 64
Length of rectangle = 64 cm
Breadth of rectangle =25cm
So
Perimeter of rectangle = 2(L+B)
= 2(64+25)
=2*89
=178cm