--rent, hire, lease [1]:

Rent is used to talk about paying to live in or use a building that is owned by someone else
• We rented an apartment together.

--In American English, you also rent a car or electrical equipment
• The TV is rented.

--In British English, you can use rent or hire, but it is more usual to say that you hire a car
• You can hire a car at the airport.

--Lease is used to talk about renting buildings, cars, or equipment over a long period of time, especially for business use
• If you upgrade computers regularly, it may work out cheaper to lease them.

1.http://www.ldoceonline.com/dictionary/hire_1


Synonyms for lease:
http://thesaurus.com/browse/lease


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