SOLUTION: this one is tough.. you are making a coffee table with a glass top surrounded by a cherry border. The glass is 3 feet by 3 feet. You want the cherry border to be uniform width. you

Algebra ->  Algebra  -> Quadratic-relations-and-conic-sections -> SOLUTION: this one is tough.. you are making a coffee table with a glass top surrounded by a cherry border. The glass is 3 feet by 3 feet. You want the cherry border to be uniform width. you      Log On

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Question 109719: this one is tough.. you are making a coffee table with a glass top surrounded by a cherry border. The glass is 3 feet by 3 feet. You want the cherry border to be uniform width. you have 7 square feet of cherry to make the border. set up an equation that would be used to solve this. what should the width of the border be?
if you could please help me.. it would be greatly appreciated :]

Answer by scott8148(5896) About Me  (Show Source):
You can put this solution on YOUR website!
the area of the glass is 9 ft^2 (3*3) ... you have 7 ft^2 of cherry, so the area of the table will be 16 ft^2 (9+7)

let x="width of border" ... (3+2x)^2-9=7 ... 9+12x+4x^2-9=7

4x^2+12x-7=0 ... (2x+7)(2x-1)=0