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Two sides of a plot measuring 32 m and 24 m and the angle between them is a perfect right angle. The other two sides measure 25 m each and the other three angles are not right angles. The area of the plot in m² is
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- 768
- 534
- 696.5
- 684
- 768
Correct Option: D
Using Rule 1,
AC = √AB² + BC²
= √32² + 24²
= √1024 + 576 = √1600
= 40 metre
| ∴ Area of ∆ABC = | × BC × AB | |
| 2 |
| = | × 24 × 32 | |
| 2 |
= 384 sq. metre
Semi-peri meter of ∆ADC (s)
| = | ||
| 2 |
| = | = 45 metre | |
| 2 |
∴ Area of ∆ADC = √s(s - a)(s - b)(s - c)
= √45(45 - 25)(45 - 25)(45 - 40)
= √45 × 20 × 20 × 5
= 20 × 15 = 300 sq. metre
∴ Area of the plot = 384 + 300 = 684 sq.metre
