Area of a trapezium is 120 sq cm, the perpendicular distance between the two parallel sides is 10 cm. If one of the parallel sides be 17 cm then find the ratio of the length of the parallel sides.
1. 11 ∶ 7
2. 17 ∶ 11
3. 7 ∶ 17
4. none of the above
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Correct Answer – Option 3 : 7 ∶ 17
Given:
One of the parallel side is 17 cm
Distance between parallel sides is 10 cm
Formula Used:
Area = Sum of parallel sides × height/2
Calculation:
Let the other side be x
⇒ (17 + x) × 10/2 = 120
⇒ 17 + x = 24
⇒ x = 7
∴ The Required ratio is 7 ∶ 17