Question

If diagonal of a square is 6√2 cm. What is the area of the square?
1. 36 cm²
2. 40 cm2
3. 25 cm2
4. 16 cm2

Answer 1

Correct Answer - Option 1 : 36 cm²

Given:

Diagonal = 6√2 cm

Formula used:

Diagonal of a square = a√2

Area of the square = (side)²

Calculation:

According to the question:

Diagonal of a square = a√2

⇒ a√2 = 6√2

⇒ a = 6 cm

Now,

Area of the square = (side)2

⇒ (6)² = 36 cm²

∴ The area of the square is 36 cm2.