(1) The board of adjustment shall fix a time for the hearing of the petition and cause due notice of the hearing to be given.
(2) The supervisors of the district and the department are entitled to appear and be heard at the hearing. A qualified elector within the district who objects to the authorizing of the variance prayed for may intervene and become a party to the proceedings. A party to the hearing before the board may appear in person, by agent, or by attorney.