What am I entitled to if I signed a lease to rent an apartment, and the management company did not deliver the apartment on time?

My roommates and I signed a lease for an apartment to begin on September 1st. Up until the evening before our move-in date, we were reassured several times that the renovation would be done by that date. On the night of August 31st, we call them and they tell us that we can't move in until one week later. We are currently all very uncomfortably staying with two more people in a 1-bedroom apartment, and they keep promising that they will make this up for us. They offered no help for us to find somewhere to stay for this week. We are definitely being taken advantage of, and I would like to put an end to this immediately. What are we entitled to? Your help is very much appreciated!