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» Given that, 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 We know that, Area of trapezium = 1/2 (Sum of lengths of parallel sides) × distance between parallel sides i.e., Area of trapezium = 1/2 (Sum of sides) × distance between parallel sides 28 = 1/2 (6 + x) × 4 28 = (6 + x) × 2 (6 + x) = 28/2 (6 + x) = 14 x = 14 – 6 x = 8 ∴ Length of the 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»

Given that,

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

We know that,

Area of trapezium = 1/2 (Sum of lengths of parallel sides) × distance between parallel sides

i.e., Area of trapezium = 1/2 (Sum of sides) × distance between parallel sides

28 = 1/2 (6 + x) × 4

28 = (6 + x) × 2

(6 + x) = 28/2

(6 + x) = 14

x = 14 – 6

x = 8

∴ Length of the other parallel side of trapezium = 8 cm