The Zoning Board of Appeal on Tuesday approved a five-story, 39-unit apartment building on Blue Hill Avenue at Wellington Hill Street that will include ground-floor space for a coffee shop and two other small stores.

The BPDA approved the proposal by Diarmaid McGregor in October under a program to allow smaller-than-usual units, in this case, one-bedroom units of 555 square feet, two-bedroom units between 805 and 825 square feet and three-bedroom units of 930 square feet.

Five of the units will be rented to people making no more than 70% of the Boston-area median income, McGregor's attorney, John Pulgini, told the board.

The building will have 40 parking spaces, Pulgini said.

He added that McGregor is looking for a local concern to run the proposed coffee shop.

Nobody rose to oppose the proposal.

the Wellington at 1301 small-project review application (11.9M PDF).