The area of a trapezium is 180 cm² and its height is 9 cm. If one of the parallel sides is longer than the other by 6 cm, the length of the longer parallel sides is

Given

Let length of first parallel side X

Length of other parallel side is X + 6

Area of trapezium= 180 cm²

Let Height (h) =9 cm

We know that area of trapezium is × (sum of parallel sides) × height

Therefore Area of trapezium is × (X + 6 +X) × 9 =180 cm².

× (X + 6 +X) × 26 =180

⇒ × (2X + 6) × 9 =180

⇒ 2X + 6 =

⇒ 2X + 6 = 40

⇒2X = 40 – 6 =34

⇒X = 17

.^.. length of the parallel sides is X=17 cm and X + 6 = 17 + 6 = 23 cm.

Therefore length of the longer parallel side is 23 cm.