Question

the area of trapezium in 300 m square the perpendicular distance between the two parallel side in 15 CM if the difference of the parallel side in 16m find the length of the parallel side

Answer 1

Answer:

Area of a trapezium A is given by

A = 1/2 (a + b) h

If one side is a, the other side is 'a-16' since the difference of the parallel sides is 16

⇒ 1/2 (a + a - 16) x 15 = 300

1/2 (2a - 16) x 15 = 300 Multiply both sides by 2

(2a - 16)x15 = 600 Divide both sides by 15

2a - 16 = 40

2a = 56

a = 28

28 - 16 = 12

∴ The sides are 28 m and 12 m