Skip to main content
OlympiadHQ

Browse · MATH

Print

jmc

prealgebra senior

Problem

A trapezoid has one base equal to its height, , and the other base is twice as long. Write the expression for the area of the trapezoid as a common fraction in terms of .
Solution
The area of a trapezoid is equal to the product of the height and the average of the length of the bases. In this case, since the length of the two bases are and and the length of the height is , the area is equal to .
Final answer
\frac{3x^2}{2}