Question

The perimeter of two squares are 72 cm and 64 cm. Then find the area of a third square whose perimeter is equal to the sum of the perimeter of the these squares.
1. 1156 cm²
2. 1056 cm²
3. 1256 cm²
4. 1165 cm²

Answer 1

Correct Answer - Option 1 : 1156 cm²

Given:

The perimeter of the two squares are 72 cm and 64 cm.

Formula used:

The perimeter of the square = 4 × side

Area of square = (side)²

Calculation:

Sum of perimeter of given square = 72 + 64 = 136 cm

Let the side of the third square be 's'

Now, the perimeter of the third square = 4s

And, 4s = 136 cm

⇒ s = 136/4 = 34 cm

Area of third square = (34)² = 1156 cm²

∴ The area of the third square is 1156 cm².