Answer:
5 inches
Step-by-step explanation:
Here's how to find the height of the trapezoid:
1. Formula for the area of a trapezoid:
Area = (1/2) * height * (base1 + base2)
2. Plug in the given values:
32 = (1/2) * height * (6 + 6.8)
3. Simplify the equation:
32 = (1/2) * height * 12.8
32 = 6.4 * height
4. Solve for the height:
height = 32 / 6.4
height = 5 inches
Therefore, the height of the trapezoid is 5 inches.