Answer :
We have been given image of a trapezoid. We are asked to find the area of trapezoidal community garden.
We know that area of trapezoid is half the sum of its parallel sides times height.
We can see that parallel sides are 75 feet and 85 feet. The height of the trapezoid is 102 ft.
[tex]\text{Area of trapezoid}=\frac{1}{2}(a+b)\cdot h[/tex], where a and b are parallel sides.
h = Height.
[tex]\text{Area of trapezoidal community garden}=\frac{1}{2}(\text{75 ft}+\text{85 ft})\cdot \text{102 ft}[/tex]
[tex]\text{Area of trapezoidal community garden}=\frac{1}{2}(160\text{ ft})\cdot \text{102 ft}[/tex]
[tex]\text{Area of trapezoidal community garden}=80\text{ ft}\cdot \text{102 ft}[/tex]
[tex]\text{Area of trapezoidal community garden}=8160\text{ ft}^2[/tex]
Therefore, the area of the trapezoidal community garden is 8160 square feet and 3rd option is the correct choice.