SOLUTION: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft2. What

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft2. What      Log On

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Question 46124: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft2. What must be the width of the walkway to the nearest thousandth?
I came up with 3.860 ft

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
30*40+(40+2x)2x+30*2x=1800 or 1200+80x+4x~2+60x=1800 or 4x~2+140x-600 or
x~2+35-150=0 or (x-3.86)(x+38.86)=0 or x=3.86 or x=-38.86 thus the walkway should be about 3.86 feet.