Question

if the area of rectangle is equal to the area of square and length of the rectangle is equal to the perimeter of the square then the breadth of the rectangle is

Answer 1

Let the square be of side a
And the rectangle be of length and breadth; l and b
Given;
Area of Square = Area of Rectangle
ie, a² = l x b ---(1)

Also, given;
Length of the rectangle = Perimeter of square
ie, l = 4a

Substituting in (1) we have;
a² = 4a x b
b = a² / (4a)
b = a/4

Therefore, the breadth of the rectangle is a quarter of the side of the square.

I hope this is the required answer.
Good luck, friend : )