Question : The lengths of two parallel sides of a trapezium are 15 cm and 20 cm. If its area is 175 cm2, then its height is:
Option 1: 15 cm
Option 2: 10 cm
Option 3: 20 cm
Option 4: 25 cm
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Correct Answer: 10 cm
Solution :
The area of a trapezium, A = $\frac{1}{2}$ × h × (a + b), where h is the height, and a and b are the lengths of the parallel sides.
We have, a = 15 cm, b = 20 cm, and A = 175 cm
2
On substituting the values, we get,
⇒ 175 = $\frac{1}{2}$ × h × (15 + 20)
$\therefore$ h = $\frac{175 \times 2}{35}$ = 10 cm
Hence, the correct answer is 10 cm.
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