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The parallel sides of a trapezium are in a ratio 2 : 3 and their shortest distance is 12 cm. If the area of the trapezium is 480 sq. cm., the longer of the parallel sides is of length :
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- 56 cm
- 36 cm
- 42 cm
- 48 cm
- 56 cm
Correct Option: D
Using Rule 13,
Let Sides of the trapezium be 2x and 3x cm
| ∴ | (2x + 3x) × 12 = 480 | |
| 2 |
| ⇒ 5x = | = 80 | |
| 6 |
| ⇒ x = | = 16 | |
| 5 |
∴ Larger side = 3x = 16 × 3 = 48 cm
