Question

The area of a trapezium is 1586 cm² and the distance between its parallel sides is 26 cm. If one of the parallel sides is 84 cm, find the other.

Answer 1

area of trapezium = 1586 cm²
(1/2) × (sum of parallel sides) × height = 1586 cm²
1/2 × (84+other side) × 26 = 1586 cm²
84+other side = (1586×2)/26
84+other side = 112
other side = 122-84 = 38 cm

Answer 2

ok here is the answer:
area of trapezium =
1/2*sum of || sides *height
1/2*(84+x)*26=1586
1092+13x=1586
13x=494
x=38 
other side is 38