"To rent the premises" means to pay or agree to use a specific space or property for a period of time, typically by paying a monthly fee or entering into a lease contract. Full definition
Fire damage to rented premises for which you are legally liable under common law (not because of a contract) is covered under Bodily Injury and Property Damage Liability. (thebalance.com)
In the proposed deal, the Kunstverein would have sold the building, which would have been demolished, and rented premises in the bank's new construction on the site. (kunsthallebasel.ch)
In the early years in Melbourne, activities were based in the homes of the organisation's members, moving to rented premises as the organisation expanded. (relationshipsvictoria.com.au)