Question

A community park is shaped like a trapezoid with a height of 30 yd, a top base of 25yd,and a bottom base of 33yd. The park has a circular fountain whose radius is 4yd. What is the area of the park without the fountain?

Answer 1

Answer: 819.73 yd²

Step-by-step explanation:

$A_{trapezoid} = \frac{b_{1}+b_{2}}{2}*h$

                       = $\frac{25+33}{2}*30$

                       = $\frac{58}{2}*30$

                       = 29 * 30

                       = 870

$A_{circle} = \pi r^{2}$

                  = π(4)²

                  = 16π

                  ≈ 50.27

Area of the park = $A_{trapezoid} - A_{circle}$

 = 870 - 50.27

= 819.73