The area of a trapezium is \( \Large \Large 384 cm^{2} \). If its parallel sides are in the ratio 3 : 5 and the perpendicular distance between them is 12 cm, the smaller of the parallel sides is

A) 20 cm

B) 24 cm

C) 30 cm

D) 36 cm

Correct answer:
B) 24 cm

Description for Correct answer:

Let the sides of trapezium be 5x and respectively.

According to the question,

\( \Large \frac{1}{2}\times(5x+3x)\times 12 \)=384

=> 8x=\( \Large \frac{384\times 2}{12} \) => x=\( \Large \frac{64}{8} \)=8 cm

Length of smaller of the parallel sides

= \( \Large 8\times 3 \) = 24 cm



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