The height of a trapezoid is 8 in. And its area is 96 in2. One base of the trapezoid is 6 inches longer than the other base. What are the lengths of the bases? Complete the explanation of how you found your answer. One base is Use the formula for the area of a trapezoid. Substitute 96 for A and 8 for h and simplify the equation to find = (b1 + b2). Use guess and check to find two numbers that add to with one number 6 more than the other to get

The lengths of the bases are 9 inches and 15 inches.

Step-by-step explanation:

The area of trapezoid is

Given that the height of a trapezoid is 8 in. and its area is 96 in².

Assume the bases of the trapezoid be b₁ and b₂.

Since one base of the trapezoid 6 in. longer than the other.

Let, b₁=b₂+6

The area of the trapezoid is

in²

in²

in²

According to the problem,

               [ Multiplying ]

Then,

              =9+6

             =15 in

The lengths of the bases are 9 inches and 15 inches.

i will pick c put check it over to be sure

step-by-step explanation: