SOLUTION: A garden area is 30 feet long and 20 feet wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft^2, what is the width of the path?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A garden area is 30 feet long and 20 feet wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft^2, what is the width of the path?      Log On

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Question 50003: A garden area is 30 feet long and 20 feet wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft^2, what is the width of the path?
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the uniform width
(30-2x)(20-2x)=400
4x%5E2%2B600-100x=400
4x%5E2-100x%2B200=0
x%5E2-25x%2B50=0
x=2.19 (rounded)
Paul.