Question

I don’t know what the correct answer is

Answer 1

The area of a trapezoid is:

(b1 + b2) * h/2, where b1 and b2 are the two bases and h is the height.

We are given expressions for the bases and values of the height and area, so let's plug the values in:

((x + 2) + (4x - 1)) * 8/2 = 104

Calculate the inside of the parentheses:

(5x + 1) * 8/2 = 104

8/2 = 4

(5x + 1) * 4 = 104

Divide by 4 on both sides:

5x + 1 = 26

Subtract 1 from both sides:

5x = 25

Divide by 5:

x = 5

Now that we know x, we can put it into the expressions given for the bases and figure out which is the longer one:

a = 4 * 5 - 1 = 20 - 1 = 19

b = 5 + 2 = 7

a is the longer base, so (A) is the answer.