Question

the parallel sides of a trapezium are in the ratio 2:5 and the distance between the parallel sides is 10 cm if the area of the trapezium is 350 cm sq , find the length of its parallel sides

Answer 1

the length of parallel sides is 20c.m and 50c.m

Answer 2

let 1st parallel side be 2x
2nd parallel side be 5x
area of trapezium = 350
1/2 (sum of parallel sides) x height = 350
1/2 * (2+5)x * 10 = 350
1/2 * 7x *10 = 350
7x. * 5 = 350
35x = 350
x = 350/35
x = 10
1st parallel sides = 2x = 2 * 10 = 20cm
2nd parallel sides = 5x = 5 * 10 = 50cm