FAR requirments and adding an addition

[Nick Causa]

Looking to remodel a multifamily and brought an architect in. What i want to do is either put a bedroom in the attic for one of the units or put an addition on the home for a bedroom. This way we’ll add more value to the home while also being able to get more rent. Our architect loved the idea but then realized our house is at the maximum allowable square footage because of the size lot its on. Quick numbers: the house is on a .09 acre lot, the house is already 2156 square feet, and the property is an R6 which the floor area ratio states the square footage of the house can only be 55% of the lot (.09 acres). Anyone ever run into this? And if so is there a way around it?