Where a lot has less land area or width than required for the district in which it is located and was of record at the time of passage of this chapter, such lot may be used for any purpose permitted in such district, subject to the regulations governing substandard lots set forth under Chapter
478, Subdivision of Land, of the Code of the City of Port Washington; provided, however, that in no case shall the setback or offset requirements be reduced except by order of the Zoning Board of Appeals after due hearing, or as otherwise herein provided. The open space requirements in the case of such lot may be reduced without appeal provided the open space is equal to at least 50% of the actual lot area.