Find the length of an altitude of a trapezoid with bases of 7 inches and 21 inches and an area of 168 square inches.
A) 10 in.
B) 14 in.
C) 17 in.
D) 12 in.
E) none of these

Question

Quizplus · Accepted Answer

The area of a trapezoid is given by the formula $A = \frac{1}{2}(b_1 + b_2)h$, where $b_1$ and $b_2$ are the lengths of the two bases, and $h$ is the height (or altitude). Plugging in the given values, we have $168 = \frac{1}{2}(7 + 21)h$. Simplifying, $168 = 14h$, so $h = 12$ inches.

Find the Length of an Altitude of a Trapezoid with Bases