City officials are accepting applications from local seniors who wish to rent units in the former Hardy School on Lake Street; the property was recently renovated into apartments for ages 62 and older after sitting vacant for years. The Nahum Hardy Residences at 51 Lake St. has 11 apartments set aside for income-eligible tenants, and eight being offered at market rates. Of the affordable-housing units, there are six two-bedroom apartments and five one-bedrooms, ranging in size from 380 square feet to 650 square feet, according to city documents. There will be an open house at building on Jan. 29 from 5 p.m. to 7 p.m. Residents applying for either affordable or market-rate units must fill out and return their applications by 2 p.m. on Feb. 28, officials said. A lottery for the units will take place March 24, with the drawing for the market-rate units set for 10 a.m. and the affordable apartments at 2 p.m. Information packets and applications are available on the municipal website, www.city.waltham.ma.us , or at the Waltham Public Library, the city’s Purchasing Department, Housing Division, and Council on Aging, and the Waltham Housing Authority . For more information on the affordable units, call 781-314-3380. For more on the market-rate units, call 781-314-3244.