Answer: the length of the bases are
5 inches and 11 inches
Explanation:
Let a represent the length of one of the bases. One base of the trapezoid is 6 inches longer than the other base. This means that the length of the other base is (x + 6) inches.
The formula for determining the area of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.
h represents the height of the trapezoid.
From the information given,
a = a
b = a + 6
h = 4 in
Area = 32 in²
Therefore,
32 = 1/2(a + a + 6)4
32 = 2(2a + 6) = 4a + 12
4a = 32 - 12 = 20
a = 20/4 = 5
b = a + 6 = 5 + 6
b = 11