SOLUTION: A swimming pool 6m wide and 10m long is to be surrounded by a cement path of uniform width. The area of the walk is equal to the area of the pool. What is the width of the path?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A swimming pool 6m wide and 10m long is to be surrounded by a cement path of uniform width. The area of the walk is equal to the area of the pool. What is the width of the path?      Log On


   

Question 518209: A swimming pool 6m wide and 10m long is to be surrounded by a cement path of uniform width. The area of the walk is equal to the area of the pool. What is the width of the path?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
area of the pool is 60 m^2
area of the walk is 60 m^2
(6+x)*(10+x)=120
x^2+16x+60 = 120
solve for x
unfortunately the x's are not integers.
x=3.13553