Any addition most likely requires a permit before being built. If no permit, the owner may have issues and could face citations. Requirements may vary by city. Contact the City Planning and Development Department for more information.
If the landlord is not maintaining a fit premise, you need to provide notice to the landlord in writing per landlord and tenant act. Refer to the landlord and tenant act for details. http://www.azhousing.gov/ShowPage.aspx?ID=484&CID=11
For further assistance, you may want to consult an attorney.