The area of a trapezium is 384 sq.cm. If its parallel sides in ratio 3 : 5 and t

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Question

The area of a trapezium is 384 sq.cm. If its parallel sides in ratio 3 : 5 and the perpendicular distance between them be 12 cm. The smaller of parallel sides is?

Options:

A . 32 cm

B . 40 cm

C . 16 cm

D . 24 cm

Answer: Option D

Let the parallel sides be 3a and 5a.So Area of trapezium = 1/2 x sum of parallel side x perpendicular distance between them.? 1/2 (3a +5a) x 12 = 384? 8a = 64? a =8? Smaller side = 3x = 3 x 8 = 24 cm.

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