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Question
The area of a trapezium is 279 sq.cm and the distance between its two parallel sides is 18 cm. If one of its parallel sides is longer than the other side by 5 cm, find the lengths of its parallel sides.
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Solution
Area of trapezium = 279 sq.cm
Distance between two parallel lines (h) = 18 cm
∴ Sum of parallel sides = `("Area" xx 2)/"Height"`
= `(279 xx 2)/18 = 31` m
Let shorter side, CD = x
Then longer side = x + 5
∴ x + x + 5 = 31
⇒ 2x = 31 - 5 = 26
⇒ x = `26/2 = 13`
∴ Shorter side = 13 cm
and longer side = 13 + 5 = 18 cm
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