The area of a tra

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) × 9 =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 lengths of the parallel sides are 17 cm, 23 cm.