SOLUTION: I have a hard time figuring word problems, can someone please help? A garden area is 30 feet long and 20 feet wide. A path of uniform width is set around the edge. If the rema

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: I have a hard time figuring word problems, can someone please help? A garden area is 30 feet long and 20 feet wide. A path of uniform width is set around the edge. If the rema      Log On

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Question 41402: I have a hard time figuring word problems, can someone please help?
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 feet squared, what is the width of the path?
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
400=(30+2x)(20+2x)-(30*20)
400=4x%5E2%2B100x
x%5E2%2B25x-100=0
Solve that and you get x=3.5 (rounded)
Hence, the uniform width is 3.5'
Paul.