Question

The area of a trapezium is 1586 cm² and the distance between the parallel sides is 26 cm. If one of the parallel sides is 38 cm, find the other.

Answer 1

Let the length of other parallel side of trapezium = x cm

Length of one parallel side of trapezium = 38 cm

Area of trapezium = 1586 cm²

Distance between parallel sides = 26 cm

Area of trapezium = \(\frac{1}{2}\)(sum of sides) x distance between parallel sides

1586 = \(\frac{1}{2}\)(38 + x) x 26

38 + x = \(\frac{1586}{13}\)

x = 122 - 38 = 84

Therefore the length of other parallel side of trapezium = 84 cm