If the Board disapproves the petition, its determination shall be recorded, and if the petitioners are the governing body of a district, county or city or a part of a county or city, the governing body shall be notified in writing. If the petitioners are the requisite number of registered voters prescribed by subdivision 4 of § 10.1-507, notification shall be by a notice printed once in a newspaper of general circulation within the area designated in the petition.