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