SOLUTION: A rectangular flower garden with dimensions 3m by 17 m is surrounded by a walk of uniform width. If the area of the walk is 11 square meters,what is the width of the walk in meter

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Question 891635: A rectangular flower garden with dimensions 3m by 17 m is surrounded by a walk of uniform width. If the area of the walk is 11 square meters,what is the width of the walk in meters?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Surrounded by w in both dimensions means, (3+2w)(17+2w) is the combined area.

%282w%2B3%29%282w%2B17%29-3%2A17=11.
The way that works is Combined Area minus Area of just the Garden is Area of the uniform-width walkway.

4w%5E2%2B6w%2B34w%2B3%2A17-3%2A17=11
4w%5E2%2B40w=11
4w%5E2%2B40w-11=0

You finish it.