SOLUTION: you have made a quilt that is 4 by 5 feet. You want to use the remaining 10 square feet of fabric to add a decorative border of uniform width. What should the width of the border b

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Question 804759: you have made a quilt that is 4 by 5 feet. You want to use the remaining 10 square feet of fabric to add a decorative border of uniform width. What should the width of the border be?
PS. This is what I tried, x(x-5)=10
x^2-5X=10

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Did you just guess at something that you thought might fit a pattern for this sort of problem or did you actually have some sort of logic behind your attempt at setting this up? If you did have a logical thought process, I would be very interested to hear what it is.

If the uniform width is , then one dimension of the entire quilt after the border has been attached is since you are adding width to each side. Likewise, the other dimension must be . Without the border, the area is 4 times 5, or 20 square feet. Since you intend to add 10 square feet, the entire area has to be 30 square feet. Hence:





Solve the factorable quadratic for the positive root.

John

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