**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