Q6 of 27 Page 218

The ratio of the length of the parallel sides of a trapezium is 5:3 and the distance between them is 16cm. If the area of the trapezium is 960 cm2, find the length of the parallel sides.

Let the parallel sides of the trapezium be 5x and 3x.

Distance between the parallel sides, h = 16 cm


Area of trapezium, A = 960 sq. cm


As we know that,





⇒ 16 × 4x = 960


⇒ 4x = 60


⇒ x = 15


⇒ 5x = 75 and 3x = 45


∴ the length of the parallel sides is 75cm and 45cm


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