Question

The perimeter of a rectangle is 156 meter and the difference of two sides is 30 meter. Find the side of square whose area is equal to the area of this rectangle?

Answer 1

Answer:

Let the length and breadth be = l, b

Perimeter = 156 = 2 ( l + b )

According to the question:

l = b + 30

=》 156 = 2 ( l + b )

=》 78 = b + 30 + b

=》 78 - 30 = 2b

=》 b = 24 m

=》 l = b + 30 = 24 + 30 = 54 m

Area of rectangle = l × b

Area = 24 × 54

Area of rectangle = 1296 m^2

Area of square = 1296 m^2

Side of square = $\tt {\sqrt {Area}}$

Side = 36 m