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The area of a field in the shape of a trapezium measures 1440 m². The perpendicular distance between its parallel sides is 24 m. If the ratio of the parallel sides is 5 : 3, the length of the longer parallel side is :
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- 75 m
- 45 m
- 120 m
- 60 m
- 75 m
Correct Option: A
Using Rule 13,
Let the parallel sides be 5x and 3x metres.
Area of trapezium = 1/2 (sum of parallel sides) × distance between them
| ⇒ 1440 = | (5x + 3x) × 24 | |
| 2 |
⇒ 12 × 8x = 1440
| ⇒ x = | = 15 | |
| 12 × 8 |
∴ The longer parallel side = 5x = 5 × 15 = 75 metres
