SOLUTION: a rectangle garden has dimensions 8 yards by 14 yards. Inside this rectangle a path(border) of uniform width is going to be constructed, leaving 55 square yards for grass and flowe

Algebra ->  Rectangles -> SOLUTION: a rectangle garden has dimensions 8 yards by 14 yards. Inside this rectangle a path(border) of uniform width is going to be constructed, leaving 55 square yards for grass and flowe      Log On


   

Question 761186: a rectangle garden has dimensions 8 yards by 14 yards. Inside this rectangle a path(border) of uniform width is going to be constructed, leaving 55 square yards for grass and flowers. How wide should the path be?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Width of the path is w.

Total area of path plus region for grass and flowers is %288-2w%29%2814-2w%29%2B55 sq.yds.
This area is also equal to the original unremodeled garden, being 8%2A14 sq.yds. That means:

%288-2w%29%2814-2w%29%2B55=8%2A14
Can you take it from here?