HELP ASAP!The diagram below gives the dimensions of a swimming pool.THESE ARE NOT ANSWERS!(a) What is the total area of the swimming pool? Explain your reasoning.(b) What is the perimeter of the swimming pool? Explain your reasoning.
Accepted Solution
A:
Area of rectangle = 36 x 20 = 720 ft^2
Perimeter of rectangle = 2(36 + 20) = 112 ft
Area of semi-circle = 1/2πr^2 (r = 18/2 = 9, using π = 3.14) = 1/2 x 3.14 x 9^2 = 142.87 ft^2
Perimeter of semi-circle = πd = 3.14 x 18 = 56.52 ft
(a) What is the total area of the swimming pool? Explain your reasoning.
area of the swimming pool = area of rectangle - area of semi-circle area of the swimming pool = 720 ft^2 - 142.87 ft^2 = 577.13 ft^2
answer: area of the swimming pool = 577.13 ft^2
-------------------------------------------------------------------------- (b) What is the perimeter of the swimming pool? Explain your reasoning. perimeter of the swimming pool = perimeter of rectangle - perimeter of semi-circle perimeter of the swimming pool = 112 ft - 56.52 ft = 55.48 ft