If the area of a trapezium is 28 cm2 and one of its parallel sides is

1.	If the area of a trapezium is 28 cm2 and one of its parallel sides is 6 cm, find the other parallel side if its altitude is 4 cm.
Answer» Let the length of other parallel side of trapezium = x cm Length of one parallel side of trapezium = 6 cm Area of trapezium = 28 cm² Length of altitude of trapezium = 4 cm Area of trapezium = \(\frac{1}{2}\)(sum of sides) x distance between parallel sides 28 = \(\frac{1}{2}\)(6 + x) x 4 6 + x = \(\frac{28}{2}\) x = 14 - 6 = 8 Therefore the length of other parallel side of trapezium = 8 cm

If the area of a trapezium is 28 cm2 and one of its parallel sides is 6 cm, find the other parallel side if its altitude is 4 cm.

Answer»

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

Length of one parallel side of trapezium = 6 cm

Area of trapezium = 28 cm²

Length of altitude of trapezium = 4 cm

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

28 = \(\frac{1}{2}\)(6 + x) x 4

6 + x = \(\frac{28}{2}\)

x = 14 - 6 = 8

Therefore the length of other parallel side of trapezium = 8 cm