Question

If x = 3 units, y = 4 units, and h = 5 units, find the area of the trapezoid shown above using decomposition. A. 35 square units B. 55 square units C. 15 square units D. 25 square units

Answer 1

Check the picture below.

`\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=3\\ b=11\\ h=5 \end{cases}\implies A=\cfrac{5(3+11)}{2}\implies A=35~units^2`