Whenever sixty percent of the freeholders residing in any rural or suburban territory, in either of the areas set forth in section 35-502, elect to form, organize, establish, equip, and maintain a rural or suburban fire protection district, as the case may be, they shall signify such intention by presenting to the county clerk of the county or counties in which such territory is situated, a petition setting forth the desires and purposes of such petitioners. Such petition shall contain the full names and post office addresses of such petitioners, the suggested name of the proposed district, the area in square miles, or the number of homes and the valuation thereof, to be included therein, and a complete description according to government survey, wherever possible, of the boundaries of the real properties intended to be embraced in the proposed rural or suburban fire protection district. The petitioners shall also present to the county clerk a plat or map showing the suggested boundaries of the proposed district, and shall deposit with the county clerk a sum sufficient to defray the expense of publishing the notices required by sections 35-504 and 35-505.