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A kite in the shape of a square with a diagonal 32 cm attached to an equilateral triangle of the base 8 cm. Approximately how much paper has been used to make it? (Use √3 = 1.732)
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- 539.712 cm²
- 538.721 cm²
- 540.712 cm²
- 539.217 cm²
- 539.712 cm²
Correct Option: A
Using Rule 6 and 10,
Area of paper = Area of square + Area of equilateral triangle
| = | (diagonal)² + | × (side)² | ||
| 2 | 4 |
| = | 32 × 32 + | × 8 × 8 | ||
| 2 | 4 |
= 512 + 16 × 1.732
= 512 + 27.712 = 539.712 cm²
[Note : Diagonal of a square = √2 side]
