The length of a rectangular floor is 2 feet more than the width. The area of the floor is 168 square feet. Kim wants to use a rug in the middle of the room leave a 2 foot border of the floor visible on all sides. What should the width of the rug be?

The area of the rectangular is expressed in the formula A = l*w where l is the length and w is the width. from the first satement, l = 2 + w; then A = (2+w) * w = 2w + w^2. If A is equal to 168, then w should be equal to 12 feet and l is equal to 14 feet. Hence the width due to the border limits is 12 - 2*2 equal to 8 feet