Question

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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?

Use 3.14 for pi.

Enter your answer in the box.

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Answer 1

The area of the trapezoid is the product of the height and the average of the two bases: 
30 (25 + 33)/2 = 30 (58)/2 = 30 (29) = 870 square yd. 

But we want to exclude the area of the fountain. 
Since it's circular its area is π times the square of its radius, or 16π square yd. 

So the area of the park, excluding the fountain, is 
870 - 16π square yd, 
or about 820 square yd.

Answer 2

the area is 820 sq ft or 870 if not excluding fountain