SOLUTION: Can someone help me out with this one? A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft^2, what i

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Can someone help me out with this one? A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft^2, what i      Log On

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Question 49312This question is from textbook Beginning Algebra
: Can someone help me out with this one?
A garden area is 30 ft long and 20 ft 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?
This question is from textbook Beginning Algebra

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
(30-2x)(20-2x)=400 or 600-40x-60x+4x~2=400 or 4x~2-100x+200=0 or
x~2-25x+50=0 or 9X-22.8)(X-2.19)=0 OR X=22.8 & X=2.19 (USING THE QUADRATIC EQUATION) THUS THE PATHIS ~2.19FT WIDE.
PROOF (30-4.38)(20-4.38)=400 OR 25.62*15.62=400 OR 400=400