When the street or alley, or part thereof, sought to be used for any of the purposes aforesaid shall be more than one mile in extent, no petition of land owners shall be valid for the purposes of this act, unless the same shall be signed by the owners of the land representing more than one-half of the frontage of each mile and fractional part of a mile, of such street or alley or of the part thereof sought to be used for any of the purposes aforesaid.
610 ILCS 130/2