Question

The area of square and a reactangle are equal. If the side of the square is 40 cm and

the breadth of the reactangle is 25 cm , then perimeter of the reactangle is?

(A) 176 cm (B) 156 cm (C) 176 m (D) 178 cm.​

Answer 1

Answer:-

Given:

Area of a square = Area of a rectangle

Side of a square = 40 cm.

Breadth of the rectangle = 25 cm.

We know that,

• Area of a square = (side)²

• Area of a rectangle = length * breadth

Let the length of the rectangle be L cm.

Hence,

→ (40)² = L * (25)

→ (40) * (40) / 25 = L

→ 64 cm = L

We know,

Perimeter of a rectangle = 2(length + breadth)

→ Perimeter of the rectangle = 2(64 + 25)

→ Perimeter of the rectangle = 2(89)

→ Perimeter of the rectangle = 178 cm

Therefore, the perimeter of the rectangle is 178 cm (Option - D).