SOLUTION: Hi. I'm really stuck on this question here: The length of a rectangular rug is 2 times its width. he rug is centered in a rectangular room. Each edge is 3 feet from the nearest wa

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi. I'm really stuck on this question here: The length of a rectangular rug is 2 times its width. he rug is centered in a rectangular room. Each edge is 3 feet from the nearest wa      Log On


   



Question 834176: Hi. I'm really stuck on this question here:
The length of a rectangular rug is 2 times its width. he rug is centered in a rectangular room. Each edge is 3 feet from the nearest wall. Write a polynomial that represents the area of the room.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a rectangular rug is 2 times its width. he rug is centered in a rectangular room. Each edge is 3 feet from the nearest wall.
Write a polynomial that represents the area of the room.
:
L = The length of the rug
W = the width
The wall is 3' from each side of the rug, therefore:
Area of room = (L+6) * (W+6)
"length of a rectangular rug is 2 times its width": therefore
A = (2W+6)*(W+6)
FOIL
A = 2W^2 + 12W + 6W + 36
A = 2W^2 + 18W + 36