Question

the area of a trapezium 216 square and the distance between the parallel side is 8 metre find the length of the parallel side . if they are in the ratio 4 : 3​

Answer 1

Answer:

28 m and 21 m

Step-by-step explanation:

Area of trapezium = 1/2 × (Sum of parallel sides) × Height

Given Area = 216 m²

Height = 8 m

Let the ratio of the parallel sides be 4x : 3x.

=> 216 = 1/2 × (4x+3x) × 8

=> 216 = 7x × 4

=> 216 = 28x

=> x = 216/28

=> x = 7

Hence, the parallel sides are 28 m and 21 m.