In the case of a plot of land, a plan for the subdivision of which has, prior to the time this chapter becomes effective, been duly approved by the Township Board of Commissioners and duly recorded in accordance with the rules, regulations, and ordinances lawfully in effect in this Township at the time of said approval and recording, the owner or developer of such plot of land, or any portion thereof, may apply to the Zoning Hearing Board for a special exception to the provisions of this chapter governing minimum lot and building areas, front yards, side yards and rear yards, where it appears that literal enforcement of such provisions will render impracticable the carrying out of such plan for subdivision and will result in undue hardship; and the owner or developer of such plot of land, or any portion thereof, may apply to the Zoning Hearing Board for a special exception to the provisions of this chapter governing business use, where the area covered by the request for a special exception was plotted for business use in conformity with the rules, regulations and ordinances lawfully in effect at the date of the approval of said plan by the Board of Commissioners, and where it appears that literal enforcement of the provisions of this chapter will render impracticable the carrying out of said plan and will result in undue hardship. In any proceeding before the Zoning Hearing Board under this section, said Board shall have power to grant a special exception to said provisions of this chapter, with respect to the whole of such plot of land or any portion thereof.