The image below shows how a trapezoid can be decomposed and rearranged to help find its area. 15 in 19.3 in 18 in 19.3 in 15 in What is the area of the rectangle constructed in the image above?
[tex]\begin{gathered} \text{Area of trapezoid = }\frac{1}{2}\text{ (sum of parallel sides) x height} \\ =\text{ }\frac{1}{2}\text{ x (}15\text{ + 19.3 ) x 18} \\ =\text{ 0.5 x 34.3 x 18} \\ =308.7in^2 \end{gathered}[/tex]
