SOLUTION: An existing garden is the shape of a rectangle with a length of 15 ft and a width of 9 ft. A border of shrubs is to be placed around the garden. The border will have the same width

Question 138086: An existing garden is the shape of a rectangle with a length of 15 ft and a width of 9 ft. A border of shrubs is to be placed around the garden. The border will have the same width all the way around the garden. Enough shrubs are needed to fill the area formed by the border. What is the width of the border?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
let x=width __ area=garden+border __ (9+2x)(15+2x)=9*15+256 __ 9*15+48x+4x^2=9*15+256

subtracting 9*15+256 __ 4x^2+48x-256=0 __ dividing by 4 __ x^2+12x-64=0

factoring __ (x+16)(x-4)=0 __ x=-16 and x=4 (-16 not realistic)
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