Petitions for Class A and Class B road vacations shall be submitted, along with fees as provided by the Board of County Commissioners, in writing to the Department of Public Works. The petition shall be signed by the owners of a majority of the frontage of the County road or portion thereof proposed to be vacated. The petition shall name a principal petitioner, show the land owned by each petitioner, and set forth that the County road is useless as a part of the County road system and that the public will be benefited by its vacation and abandonment.