Question

What is the height of a trapezoid if the top of its base is 4 in, the bottom 5 in, and the total area is 13.5 in squared?

a) The height is 3 in.
b) The height is 4.5 in.
c) The height is 9 in.
d) The height is 6.75 in.

Answer 1

To find the height of a trapezoid, use the formula for the area of a trapezoid and solve for height. Plug in the given values and calculate to find the height. The correct answer is option a) The height is 3 in.

Step-by-step explanation:

To find the height of a trapezoid, you can use the formula for the area of a trapezoid. The formula is: Area = 1/2 × (top base + bottom base) × height. Rearrange the formula to solve for height: height = 2 × Area / (top base + bottom base). Plug in the values given in the question: height = 2 × 13.5 in² / (4 in + 5 in) = 2 × 13.5 in² / 9 in = 3 in. Therefore, the height of the trapezoid is 3 inches, so the correct answer is option a) The height is 3 in.