The height of a trapezoid is 8 inches and its area is 96 in one base of the trapezoid is 6 inches longer than the other base what are the lengths of the bases explain how you found your answer

First is to get the given data that we might be able to use for computation.

H = 8 inches

Area = 96

B1 = B1

B2 = B1+6

Next is to know the area of a trapezoid

Area = H x (B1 + B2) / 2

96 = 8 x (B1 + B1 + 6) / 2

96 = 8 x (2B1 + 6) / 2

96 = 4 x (2B1 + 6)

14 = 2B1 + 6

2B1 = 8

B1 = 4

B2 = 10