Question

If the area of the trapezoid below is 75 square units, what is the value of x?

A. 3 units
B. 12 units
C. 1.5 units
D. 6 units

Answer 1

6 units

Explanation:

The formula for a trapezoid is ((b1+b2)/2)h.

Here, we see b1 = 8 and b2 = 17.

If the area of the trapezoid is 75, we can make the equation :

75 = ((8+17)/2)x , where we would solve for x.

First, we simplify the right side of the equation :

75 = (25/2)x

Multiply both sides by 2 to get rid of the "/2"

150 = 25x

Then divide both sides by 25.

6=x