Question

The area of a trapezium is 135cm
and its height is 9cm. If one of the parallel sides is longer than the other by 8cm, the length of the longer parallel side is _____ cm.

Answer 1

Step-by-step explanation:

Length of parallel sides=8 cm, 9 cm

Distance between parallel sides=6 cm

Area = 1/2 (distance between parallel sides)× (sum of parallel sides)

=

1/2×6×(8+9)

=3×17=51

Answer 2

Answer:

19

Step-by-step explanation:

let the smaller side be x cm.

according to question-

longer side = x+8 cm.

area of trapezium = 1/2(sum of parallel sides) × distance between them.

A = 1/2 (a+ b) × h

135 = 1/2( x+x+8) × 9

135/9 = 1/2( 2x+ 8)

15= 1/2 ×2( x+4)

15= x+4

x= 15-4

x= 11

longer side = x+8 = 11+8=19