SOLUTION: a family wants to build a cement walkway of constant width around a 25ft X 30ft rectangular pool. They have enough cement for 504 sq ft. Assuming they use all the cement, how wid

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: a family wants to build a cement walkway of constant width around a 25ft X 30ft rectangular pool. They have enough cement for 504 sq ft. Assuming they use all the cement, how wid      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 996598: a family wants to build a cement walkway of constant width around a 25ft X 30ft rectangular pool. They have enough cement for 504 sq ft. Assuming they use all the cement, how wide should they make the walkway?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Assign variables to everything.
system%28L=25%2Cw=30%2CA=504%2Cx=unknownBorderWidth%29
-
A is for the area of the border to surround the rectangular region.

Total area minus given rectangular region area is the border area;
highlight_green%28%28L%2B2x%29%28w%2B2x%29-Lw=A%29
The rest should be easy; the unknown is x.