The area of a trapezium is \( \Large 275 cm^{2} \). If its parallel sides are in the ratio 2 : 3 and perpendicular distance between them is 5 cm, then smaller of the parallel sides is

A) 36 cm

B) 40 cm

C) 44 cm

D) 48 cm

Correct answer:
C) 44 cm

Description for Correct answer:
Given : Area of trapezium = \( \Large 275\ cm^{2} \)

Let parallel sides be 2x and 3x.

Area of trapezium

= \( \Large \frac{1}{2} \times sum\ of\ parallel\ side \times h \)

Therefore, \( \Large \frac{1}{2} \left(2x+3x\right) \times 5 = 275 \)

\( \Large x = \frac{2 \times 275}{25}\ =\ 22\ cm \)

Therefore, Smaller of the parallel sides = 2x = 44 cm


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