SOLUTION: How wide a border of uniform width should be added to a rectangle that is 8 inches by 12 inches to double the area?
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Question 520891: How wide a border of uniform width should be added to a rectangle that is 8 inches by 12 inches to double the area?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the width of the border. The original rectangle has an area of 8 times 12 = 96, and we want the new area to be twice that, or 192. Since the border goes all the way around, a border of width will add 
to each dimension. That means:
(2x\ +\ 12)\ =\ 192)
Multiply the binomials, collect like terms, put the quadratic into standard form, and solve for . Hint: Divide through by 4 before trying to factor the quadratic.
John
My calculator said it, I believe it, that settles it
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