Solve the problem.
-A rug is to fit in a room so that a border of even width is left on all four sides. If the room is 12 feet by 15 feet and the area of the rug is 108 square feet, how wide will the border be?
A) $2.2 \mathrm { ft }$
B) $3 \mathrm { ft }$
C) $1 \mathrm { ft }$
D) $1.5 \mathrm { ft }$

Question

Quizplus · Accepted Answer

Let the width of the border be $ x $ feet. The dimensions of the rug will be $ (12 - 2x) $ by $ (15 - 2x) $. The area of the rug is given by $ (12 - 2x)(15 - 2x) = 108 $. Solving this equation gives $ x = 1.5 $ feet.

Solve the Problem 2.2ft2.2 \mathrm { ft }2.2ft B) 3ft3 \mathrm { ft }3ft

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