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 9 feet by 17 feet and the area of the rug is 20 square feet, how wide will the border be?
A) $6 \mathrm{ft}$
B) $4.5 \mathrm{ft}$
C) $5.5 \mathrm{ft}$
D) $3.5 \mathrm{ft}$

Question

Quizplus · Accepted Answer

The area of the room is 153 square feet (9x17). The rug's area is 20 square feet. The difference in area is 133 square feet, which is the area of the border. Let the width of the border be x. The dimensions of the rug are (9-2x) by (17-2x). Solving (9-2x)(17-2x) = 20 gives x = 3.5 feet.

Solve the Problem 6ft6 \mathrm{ft}6ft B) 4.5ft4.5 \mathrm{ft}4.5ft C) 5.5ft5.5 \mathrm{ft}5.5ft D) 3.5ft3.5 \mathrm{ft}3.5ft

Solve the Problem $6 \mathrm{ft}$ B) $4.5 \mathrm{ft}$ C) $5.5 \mathrm{ft}$ D) $3.5 \mathrm{ft}$