Shortly after identifying the parties, the lease will identify the property being leased.  Often times you will see an address and possibly a legal descrption.  Though important, technically it is only required that the space or location be easily identifiable from the provided description.

"Joe Smith's old place" is not sufficient. "1234 Main, Unit 100, Joe's Smith's old place" is most likely sufficient. Most ofter you will see something akin to "1234 Main, Unit 100, Houston, Harris County, Texas, also being described in the records of Harris County at page 1234, document 4783, as Unit 100 of Lots 3 and 4, Smith Subdvison, Rollins Survey."  

Always make sure that the lease space is what you are seeking, what your thought you were leasing, and what you actually are leasing.  Most errors are caught early on but it could be a costly mistake. 

And, remembering our one rule about commercial leases, if you need half a unit, or a quarter of  a unit, ask for it and make sure it is properly described. There is nothing that says a certain address or unit cannot be partially leased. Do not be bound by borders set by developers, builders,or county officials.