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) 3 ft
B) 1 ft
C) 2.2 ft
D) 1.5 ft

Question

Quizplus · Accepted Answer

The area of the room is 12 x 15 = 180 square feet. The area of the rug is 108 square feet. The difference in area is 180 - 108 = 72 square feet, which is the area of the border. Let the width of the border be x feet. The dimensions of the rug are (12 - 2x) by (15 - 2x). The equation is (12 - 2x)(15 - 2x) = 108. Solving this equation gives x = 1.5 feet.

Solve the Problem. -A Rug Is to Fit in a Room So That