MATH SOLVE

4 months ago

Q:
# 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

answer

perimeter of the swimming pool = 55.48 ft

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

answer

perimeter of the swimming pool = 55.48 ft