# If the area of a rectangle is equal to the area of a square and the length of the rectangle is equal to the perimeter of the square, then the breadth of the rectangle is

(a) side/2

(b) side2/2

(c) side/4

(d) side/3

Solution:

Let l be length and b be the breadth of the rectangle.

Area of rectangle = l×b

Area of square = side2

Given the area of a rectangle is equal to the area of a square.

=> l×b = side2 …(i)

Also given the length of the rectangle is equal to the perimeter of the square

=> l = 4×side …(ii)

Put (ii) in (i)

4×side×b = side2

=> b = side/4

Hence option c is the answer.