SOLUTION: You are the manager at the town pool. You need to build a fence around the new's children's pool area. The pool is 5 feet wide by 8 feet long. You want the fence to be the same

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Question 1028307: You are the manager at the town pool. You need to build a fence around the new's children's pool area. The pool is 5 feet wide by 8 feet long. You want the fence to be the same distance x from all sides of the pool, except you need to put a lifeguard chair at one end of the length, so the fence should be twice as far away on that side.
a. sketch a diagram of the situation described.
b. write a polynomial expression that represents the area enclosed by the fence.
c. IF the total area within the fence needs to be 442 square feet, how far away should the fence be from the pool on three of the sides?
d How much fencing must you buy?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!


Find the roots of the equation by quadratic formula

a= 6 b= 31 c= -402

b^2-4ac= 961 - -9648
b^2-4ac= 10609 sqrt%28%0910609%09%29= 103
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=( -31 + 103 )/ 12
x1= 6
x2=( -31 -103 ) / 12
x2= -11.17
Ignore negative value
x = 6
width on three sides of pool = 6 ft