Question

The parallel sides of a Trapezium are in the ratio 2 : 3 and the shorter distance between them is 12 cm. if the area of the trapezium is 480 square cm, find the length of the longer of The parallel sides .​

Answer 1

Step-by-step explanation:

let the parallel sides of trapezium are 2x and 3x

height = 12cm

Area of trapezium = 1/2×(sum of parallel sides)×h

480 = 1/2×(2x+3x)×12

480 ×2/12= 5x

80 = 5x

x = 16

2x = 32cm

3x = 48cm