Question

Next try your hand all these problems:

The area of a square is 3136 square centimeters. What is its perimeter?

Answer 1

Given that the area of the square = 3136 cm².

We know that the area of a square = (side) ².

⇒ 3136 cm² = (side) ²

⇒ Side of the square = cm

Now, 3136 = 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7

= 2⁶ × 7²

= (2³)² × 7² [since x²ⁿ = (xⁿ)²]

= (2³ × 7)²

= (8 × 7)²

= 56²

We know that for two numbers x and y, if x² = y, then.

So,

Perimeter of a square = 4 × side of the square

= 4 × 56 cm

= 224 cm

Thus, the perimeter of the square is 224 cm.