This falls under State Innkeepers Law and is specific to the state you are in. You are establishing an Innkeeper / Guest relationship, not Landlord / Tenant, and there are specific statutes that cover this. In which state are you trying to get the room?

Many hotels will ask you to initial beside your departure date when you check in. I'm not sure my initials signify a legal agreement to leave on that date or a simple confirmation that the date is correct.