Problema Solution
A reflecting pool in the new park is to be 30 feet wide and 90 feet long. A uniform walkway is to be built around the entire pool. If the recreation committee does not want the combined area to exceed 4000 square feet, what are the possible widths of the walkway?
Answer provided by our tutors
The possible widths is the walkway is 10 feet
Solution: Set possible widths is X
The combined area is (30+X) x (90+X) <=4000
X^2 + 120X -1300<=0
(X + 130) x (X - 10) <=0
so X <=10
The possible widths is the walkway is 10 feet or less