The diagram below gives the dimensions of a swimming pool. 18 ft , 20ft, 36ft (c) What is the total area of the swimming pool? Explain your reasoning. (d) What is the perimeter of the swimming pool? Explain your reasoning. Answer:
Part 1) What is the total area of the swimming pool?
we know that area of the swimming pool=area rectangle-area semi circle
area rectangle=20*36-----> 720 ft²
area semicircle=pi*r²/2 r=18/2----> 9 ft area semicircle=pi*9²/2----> 127.17 ft²
area of the swimming pool=720 ft²-127.17 ft²----> 592.83 ft²
the answer Part 1) is The area of the swimming pool is 592.83 ft²
Part 2) What is the perimeter of the swimming pool?
perimeter of the swimming pool=perimeter of rectangle-18 ft+perimeter semi circle perimeter of rectangle=2*[20+36]---> 112 ft
perimeter semi circle=2*pi*r/2----> pi*r r=9 ft perimeter semi circle=pi*9----> 28.26 ft so perimeter of the swimming pool=112 ft-18 ft+28.26 ft----> 122.26 ft
