SOLUTION: You have made a quilt that is 3 feet by 4 feet. You want to use the remaining 18 square feet of fabric to add a decorative border of uniform width. What should the width of the bor

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Question 898084: You have made a quilt that is 3 feet by 4 feet. You want to use the remaining 18 square feet of fabric to add a decorative border of uniform width. What should the width of the border be? Please help !
Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the width of the uniform border
gets added twice to both dimensions, so
I can say:




-----------------------
Use the quadratic formula:










The width of the border is 1 ft
check:




OK

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
The only sense I can make here is that the quilt made covers 3 feet by 4 feet, leaving a path around the quilt on the piece of material unquilted.

x and y, the dimensions of quilted part
w, the width around the quilted part
expect x=3 and y=4.

Total Material Area,
Quilted Area,
Unquilted Area,
The unquilted area is given as 18 square feet to be used for decorative border.

Meaning is .





Substitute the given or expected values x and y,


Choose the factor which has a meaningful solution.
.

Border will be a uniform ONE FOOT Width.

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