12th grade
posted by Mady on .
The legnth of a rectangular floor is 2 feet more than it's width. The area of the floor is 168 square feet. Kim wants to use a rug in the middle of the room and leave a 2 foot border of the floor visible on all sides. What should the legnth of the rug be?

Your first job should be to determine the dimensions of the floor.
Let X = width, then
X + 2 = length.
The area is 168; therefore,
X(X+2) = 168 which expands to
X^2 + 2X  168.
Solve that for X and X+2 then look to see how much smaller the rug should be. Post your work if you get stuck. 
the rug should 2