In any district in which single-family dwellings are permitted, notwithstanding limitations imposed by other provisions of this chapter, a single-family dwelling and customary accessory buildings may be erected on any single lot of record at the effective date of adoption or amendment of this chapter. Such lot shall be in separate ownership. This provision shall apply even though such lot fails to meet the requirements for area or width, or both, that are generally applicable in the district, provided that yard dimensions and other requirements not involving area or width, or both, of the lot shall conform to the regulations for the district in which such lot is located. Variance of area, width, yard and coverage requirements shall be obtained only through action of the Zoning Hearing Board, except that the Zoning and Code Management Officer may grant approval for a building permit where the area of the lot to receive the new construction and/or the proposed distances from the new construction to front, side or rear lot lines does not exceed 20% less than the minimum requirements for the zone district in which the lot is located, and such grant of approval is reasonable considering the lot and the proposed structure to be built upon it.