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SWERS PLZ. A city park is shaped like a trapezoid with a height of 40 yd, a top base of 21 yd, and a bottom base of 30 yd. The park has a circular fountain whose radius is 6 yd.
What is the area of the park without the fountain?
The area of the trapezoid is the product of the height and the average of the two bases: <span>30 (25 + 33)/2 = 30 (58)/2 = 30 (29) = 870 square yd. </span>
<span>But we want to exclude the area of the fountain. </span> <span>Since it's circular its area is π times the square of its radius, or 16π square yd. </span>
<span>So the area of the park, excluding the fountain, is </span> <span>870 - 16π square yd, </span> <span>or about 820 square yd.</span>