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The length of diagonal of a square is 15√2 cm. Its area is
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- 112.5 cm²
- 450 cm²
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225√2 cm² 2
- 225 cm²
- 112.5 cm²
Correct Option: D
Diagonal of square = √2 × side
∴ √2 × side = 15 √2
| ⇒ Side = | = 15 | |
| √2 |
∴ Area of square = (side)²
= 15 × 15 = 225 sq.cm.
Method 2 :
Quicker Approach
| Area of square = | × (diagonal)² | |
| 2 |
| = | × 15√2 × √2 = 225sq.cm. | |
| 2 |
