Answer:
[tex]92\ yd^2[/tex]
Step-by-step explanation:
The given figure is a trapezoid, the formula for finding the area of a trapezoid is the following,
[tex]A=\frac{h(b_1+b_2)}{2}[/tex]
Where (h) is the height of the figure, and ([tex]b_1[/tex]) and ([tex]b_2[/tex]) are the bases. It is given that the height is (8) and ([tex]b_1[/tex]) is (8). The value of ([tex]b_2[/tex]) can be found by adding the value of ([tex]b_1[/tex]) to the "overhang" that ([tex]b_2[/tex]) has over ([tex]b_1[/tex]). Thus, ([tex]b_2[/tex]) is ([tex]8+7[/tex]) or rather ([tex]15[/tex]). Now substitute the values into the equation and solve for the area of the trapezoid,
[tex]A=\frac{8(8+15)}{2}[/tex]
[tex]=\frac{8(23)}{2}[/tex]
[tex]=4(23)[/tex]
[tex]=92[/tex]
