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

Explanation:

`A_(trapezoid) = (b_(1)+b_(2))/(2)*h`

=
`(25+33)/(2)*30`

=
`(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