A rental agreement is a contract, usually written, between the owner of a property and a renter who desires to have temporary possession of the property. As a minimum, the agreement identifies the parties, the property, the term of the rental, and the amount of rent for the term. The owner of the property may be referred to as the lessor and the renter as the lessee.
Definition of Personal Property Rental Agreement.
You can find various examples of Personal Property Rental Agreements here.