Question

The community center built a new playground. The sections of the playground are geometric shapes, shown in the picture below

What is the total area of the surface of the entire playground in square feet (use 3.14 for pi)

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Answer 1

area = 2348 ft^2

Explanation:

(15 x 40) + (28x40) + Pi(20^2)(0.5) = area

area = 600 + 1120 + 628 = 2348 ft^2

Answer 2

Explanation:

So we have a half circle, a rectangle, and a triangle.

circle area is A=3.14r^2 and the radius is 40/2=20, since we only have half a circle

A=3.14(20^2)/2=628ft^2

The rectangle has an area A=LW=28(40)=1120ft^2

The triangle has area A=bh/2=40(15)/2=300ft^2

So the total area is

A=628+1120+300=2048ft^2