The area of a trapezium is 279 sq.cm and the distance between its two parallel sides is 18 cm. If … by 5 cm, find the lengths of its…
Answers:
Area of trapezium = 279 sq.cm
Distance between two parallel lines (h) = 18 cm
∴ Sum of parallel sides = (Area × 2)/Height
= (279 × 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