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 11 feet by 17 feet and the area of the rug is 27 square feet, how wide will the border be?
A) $6 \mathrm{ft}$
B) $6.5 \mathrm{ft}$
C) $5 \mathrm{ft}$
D) $4 \mathrm{ft}$

Question

Quizplus · Accepted Answer

The area of the room is $11 \times 17 = 187 \mathrm{ft}^2$. Subtracting the area of the rug, $187 - 27 = 160 \mathrm{ft}^2$, gives the combined area of the borders. Let $x$ be the width of the border. The dimensions of the rug will then be $(11 - 2x) \times (17 - 2x)$. Setting this equal to the area of the rug, $(11 - 2x)(17 - 2x) = 27$, and solving for $x$ gives $x = 4 \mathrm{ft}$.

Solve the Problem 6ft6 \mathrm{ft}6ft B) 6.5ft6.5 \mathrm{ft}6.5ft C) 5ft5 \mathrm{ft}5ft D) 4ft4 \mathrm{ft}4ft

Solve the Problem $6 \mathrm{ft}$ B) $6.5 \mathrm{ft}$ C) $5 \mathrm{ft}$ D) $4 \mathrm{ft}$