PLEASE HELP 50 POINTS!!!! What is the area of this figure? Drag and drop the appropriate number into the box.A.806.5 B.1159.5 C.2268.5D.4174.5
Accepted Solution
A:
Answer:A. 806.5 in²Step-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 figureTriangle: 1/2 bh, b = base and h = height For each of the figures given: rectangle: 16 x 9 = 144 in²trapezoid: [tex]15(\frac{31+16}{2})[/tex] = 352.5 in²triangle: 1/2(31*20) = 310 in²310 + 144 + 352.5 = 806.5 in²