Answer:
A. 806.5 in²
Step-by-step explanation:
The figure given is a combination of a rectangle, a trapezoid and a triangle.
The formulas for the areas of each figure:
Rectangle: length x width
Trapezoid: [tex]h(\frac{b_{1}+b_{2}}{2})[/tex], where [tex]b_{1}[/tex] and [tex]b_{2}[/tex] are the lengths of each base and h is the height of the figure
Triangle: 1/2 bh, b = base and h = height
For each of the figures given:
rectangle: 16 x 9 = 144 in²
trapezoid: [tex]15(\frac{31+16}{2})[/tex] = 352.5 in²
triangle: 1/2(31*20) = 310 in²
310 + 144 + 352.5 = 806.5 in²
