Find the length of one side of a square whose perimeter is equal to that of a rectangle with length and breadth 100 meters and 62 meters respectively.

Given: Length of rectangle (l) = 100 m

Breadth of rectangle (b) = 62 m

We know, Perimeter of rectangle = 2 (length + breadth) ⇒ Perimeter of rectangle = 2(100 + 62) m

⇒ Perimeter of rectangle = 2 × 162 = 324 m

But, it is given that there is a square whose perimeter equals the perimeter of this rectangle.

Let the side of the square be ‘s’ m.

We know, Perimeter of square = 4 × side

⇒ 4 × s = 324 m

Thus, the length of side of the square is 81 m.