Question

Jeanine’s swimming pool has a diameter of 27 feet. Surrounding the pool is a

deck that extends 5 feet from the edges of the pool. Jeanine wants to paint the deck and then put a fence around it. Paint costs $0.85 per square foot and fencing costs $8.25 per foot. How much will it cost Jeanine to paint the deck and add fencing? Explain how you found your answer.

Answer 1

It will cost $427.04 to paint deck and it will cost 958.485 to add fencing around deck

Explanation:

Diameter of swimming pool = 27 feet

Radius of pool r=
`(27)/(2)=13.5 feet`

Surrounding the pool is a deck that extends 5 feet from the edges of the pool

Outer radius R = 13.5+5=18.5

Area of deck = Outer area - Inner area

Area of deck =
`\pi R^2 -\pi r^2`

Area of deck =
`3.14(18.5^2-13.5^2)`

Area of deck =
`502.4 ft^2`

Cost of painting 1 sq.feet = $0.85

Cost of painting 502.4 sq.feet =
`502.4 * 0.85=427.04`

Perimeter of deck =
`2 \pi R = 2 * 3.14 * 18.5 =116.18 feet`

Cost of fencing 1 foot = $8.25

Cost of fencing 116.18 foot =
`116.18 * 8.25=958.485`

Hence it will cost $427.04 to paint deck and it will cost 958.485 to add fencing around deck