Question

the area of a trapezoid is 36 square inches. The height is 4 inches and one bases twice the length of the other base. What are the lengths of the bases?

Answer 1

The formula for this is $A= \frac{1}{2} ( b_{1} + b_{2} )h$.  Filling in accordingly, $36= \frac{1}{2}(x+2x)(4)$.  This simplifies to $36= \frac{1}{2}(3x)(4)$ and 36=6x.  Therefore, x = 6 so the bases are 6 and 12.

Answer 2

6 and 12 is the correct answer