Answer: (A) The cost for the brick wall is $35,168
(B) The cost for the turf is $46,158
(C) The city cannot stay within the budget
Step-by-step explanation: The brick wall meant to surround the amphitheater is equivalent to the circumference of the amphitheater itself, so we shall start by calculating the circumference of the amphitheater. We know the radius is 70 feet since the diameter has been given as 140 feet. The circumference of a circular shape is given as,
Circumference = 2Pi x r
Circumference = 2 x 3.14 x 70
Circumference = 70 x 3.14
Circumference = 439.6
Having been told that the brick wall costs $80 per foot, and the total brick wall is 439.6 feet, the cost of the entire brick wall shall be calculated as;
Cost = 439.6 x 80
Cost = 35168
The cost of the brick wall therefore is $35,168.
The turf to be laid inside is equivalent to the area of the amphitheater, hence we shall now calculate the area. The area of a circular shape is given as;
Area = Pi x r^2
Area = 3.14 x 70^2
Area = 3.14 x 4900
Area = 15386
If the turf would cost $3 per square foot, and the entire turf is 15386, then the total cost would be calculated as,
Cost = 15386 x 3
Cost = 46158
Therefore the total cost of the turf would be $46,158.
Remembering that the city has already budgeted $60,000 for the project, if we add the cost of brick wall and turf together we shall have a total cost of $81,326. This is already beyond the amount budgeted and so the city cannot complete the project.
