The area of a trapezium is 336 cm2 If its parallel sides are in the ratio 5 7 and the perpendicular ...........

Quantitative Aptitude (CDS) Mensuration 2D

The area of a trapezium is 336 cm². If its parallel sides are in the ratio 5 : 7 and the perpendicular distance between them is 14 cm, then the smaller of the parallel sides is

20 cm

22 cm

24 cm

26 cm

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Explanation:

Let the parallel sides of the trapezium be 5k and 7k
Area of the trapezium =1/2 × Sum of the parallel sides × Perpendiculardistance between the parallel sides
∴1/2×(5k+7k)×14=336
⇒84k=365
⇒k=4
Therefore, smaller of the parallel sides =5×4=20cm