A floor covering such as carpet, tile, or linoleum can represent:
A covering, or something that covers something up
A veneer or mask
A fresh start or new beginning, since a carpet gives a floor a "new look"
An attempt to control one's appearance or the impression one makes
Also, consider the color or other attribute of the flooring (dirty, clean, torn, business-like, fun, etc.) and what it signifies to you.