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Mkey [24]
2 years ago
5

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

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
6 0

Answer:

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

Step-by-step explanation:

Diameter of swimming pool = 27 feet

Radius of pool r=\frac{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 \times 0.85=427.04

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

Cost of fencing 1 foot = $8.25

Cost of fencing 116.18 foot = 116.18 \times 8.25=958.485

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

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