The area of a trapezium is 405 cm2. Its parallel sides are in the rati

1.	The area of a trapezium is 405 cm2. Its parallel sides are in the ration 4:5 and the distance between them is 18 cm. Find the length of each of the parallel sides.
Answer» we know that the length of the parallel sides is 4xcm and 5xcm Height (h) = 18cm Area of trapezium = 405cm² By using the formula Area of trapezium = ½ × (sum of parallel sides) × height 405 = ½ × (4x+5x) × 18 405 = ½ × (4x+5x) × 18 405 = (9x) × 9 9x = 405/9 x= 45/9 x = 5 ∴ The length of the other parallel side is 4x= 4 × 5 = 20 cm and 5x= 5 × 5 = 25 cm

The area of a trapezium is 405 cm2. Its parallel sides are in the ration 4:5 and the distance between them is 18 cm. Find the length of each of the parallel sides.

Answer»

we know that the length of the parallel sides is 4xcm and 5xcm

Height (h) = 18cm

Area of trapezium = 405cm²

By using the formula Area of trapezium = ½ × (sum of parallel sides) × height

405 = ½ × (4x+5x) × 18

405 = (9x) × 9

9x = 405/9

x= 45/9

x = 5

∴ The length of the other parallel side is 4x= 4 × 5 = 20 cm and 5x= 5 × 5 = 25 cm