SOLUTION: A man built a walk of uniform width around a rectangular pool. If the area of the walk is 245 square feet and the dimensions of the pool are 6 feet by 22 feet, how wide is the walk

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A man built a walk of uniform width around a rectangular pool. If the area of the walk is 245 square feet and the dimensions of the pool are 6 feet by 22 feet, how wide is the walk      Log On


   

Question 992205: A man built a walk of uniform width around a rectangular pool. If the area of the walk is 245 square feet and the dimensions of the pool are 6 feet by 22 feet, how wide is the walk?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Assign variables this way:
system%28L=22%2Cw=6%2Cu=unknownUniformWidthofWalkway%2CA=245%29

%28L%2B2u%29%28w%2B2u%29-wL=A, the difference between the pool area and the combined pool & walkway area leaves just the walkway area, which is given. Solve for the unknown variable, u.


If you find no trouble solving that equation for u, or at least carrying many of the steps, and then substituting for L, w, and A, to finish, then you may need no further help on this.