Question

A community park is shaped like a trapezoid with a height of 30 yd, a top base of 25 yd, and a bottom base of 33 yd. The park has a circular fountain whose radius is 4 yd.

What is the area of the park without the fountain? do not round

Use 3.14 for pi.

Answer 1

The area (A) will be area of trapezoid (At) - area of circular fountain (Ac)
At = 1/2 (b1+b2) × h = 1/2 (25+33)×30
= 29×30 = 870 sq.yds.
Ac = pi×r^2 = (3.14)(4)^2 = 3.14×16
= 50.24 sq.yds
At - Ac = (b × h) - (pi×r^2) = 870- 50.24
= 819.76 sq.yds