SOLUTION: Ayesha is making a pillow sham by sewing a border onto an old pillow case. The rectangular pillow case measures 18 in by 27 in. When she sees a border of a uniform width around the

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Question 1136021: Ayesha is making a pillow sham by sewing a border onto an old pillow case. The rectangular pillow case measures 18 in by 27 in. When she sees a border of a uniform width around the pillowcase, the total area of the surface of the pillow sham will be 792 in ^2 . How wide is the border? Write an equation.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Sham?

?

Assuming either upper side or lower side of the entire pillow sham,
%2818%2B2u%29%2827%2B2u%29=792;
u is the 'uniform border size' beyond the pillow(or pillow case?).

You can look for two factors o 792 which differ by 9, find either and solve for u, unless you prefer to solve the quadratic equation, and possibly do that form by factoring or by general solution formula. highlight_green%28u=3%29.