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=[tex]\frac{27}{2}=13.5 feet[/tex]
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 =[tex]\pi R^2 -\pi r^2[/tex]
Area of deck = [tex]3.14(18.5^2-13.5^2)[/tex]
Area of deck = [tex]502.4 ft^2[/tex]
Cost of painting 1 sq.feet = $0.85
Cost of painting 502.4 sq.feet = [tex]502.4 \times 0.85=427.04[/tex]
Perimeter of deck = [tex]2 \pi R = 2 \times 3.14 \times 18.5 =116.18 feet[/tex]
Cost of fencing 1 foot = $8.25
Cost of fencing 116.18 foot = [tex]116.18 \times 8.25=958.485[/tex]
Hence it will cost $427.04 to paint deck and it will cost 958.485 to add fencing around deck
