Question

The area of a trapezium is 54 cm2. The length of one of the parallel sides is.
8 cm and the height is 6 cm. Find the length of the other parallel side.
rallel sides are 4 cm and 12 cm​

Answer 1

Answer:

Answer

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.