Before an election is held under § 57.057, a petition, signed by the greater of at least 10 percent of the total number of electors or 100 electors in the district who are qualified to vote, shall be presented to the district requesting that an election be held in the district to determine whether or not directors for the district should be elected. If the results of an election held under § 57.057 determine that directors will be elected, the current directors continue to serve until the elected directors qualify to take office.