Question

The difference between the lengths of the parallel sides of a trapezium
is 8 cm, the perpendicular distance between these sides is 24 cm and the
area of the trapezium is 312 cm. Find the length of each of the parallel side ​

Answer 1

Answer:

Step-by-step explanation:

Let the length of the parallel side be x

The other parallel side is x + 8

Given the area = 312 cm² and the height = 24 cm

Solve x:

area = 1/2 (a + b) (h)

312 = 1/2 ( x + (x + 8) ) (24)

312 = 12( 2x + 8)

2x + 8 = 26

2x = 18

x = 9 cm

Find the length of the parallel sides:

one side = x = 9 cm

the other side = x + 8 = 9 + 8 = 17 cm

Answer: The length of the parallel sides ar 9 cm and 17 cm

Answer 2

Lengths of each parallel sides are 9cm and 17 cm.