Answer:
806.5 in²
Step-by-step explanation:
The figure in the problem is a combination of three different shapes: a rectangle, a trapezoid and a triangle. In order to find the combined area of the figure, the area of each shape needs to be found. The formulas are:
Rectangle: A = l x w or 9 x 16 = 144 in²
Triangle: A = [tex]\frac{1}{2}[/tex]b x h or [tex]\frac{1}{2}[/tex](31)(20) = 310in²
Trapezoid: A = [tex]\frac{1}{2}[/tex]h([tex]b_{1}+b_{2}[/tex]) = [tex]\frac{1}{2}[/tex](15)(31 + 16) = 352.5 in²
Add all areas: 352.5 + 144 + 310 = 806.5 in²
