Any one or more political subdivisions desiring to be attached to and become a part of any hospital district, or any remaining portion of any political subdivision which is a part of the hospital district desiring to be attached to and become a part of such a hospital district as one area, may do so in the manner provided in this section. A political subdivision desiring to be attached to and become a part of a hospital district need not be contiguous to the territory of such hospital district so long as the political subdivision is located wholly within the county in which the hospital for the district is located and does not include within its territory, in whole or in part, the taxing area of another hospital. Upon the presentation to the board of county commissioners, of the county in which the hospital is located, of a petition setting forth the boundaries of the territory which desires to be attached to the taxing district of the hospital, stating that a person who has signed the petition may withdraw such person’s name from the petition by giving written notice thereof at any time within three days following the date of signing the petition, excluding Saturdays, Sundays and legal holidays, to the county election officer of the county in which the hospital is located and signed by not less than 51% of the qualified electors of the territory, to be determined by enumeration taken and verified for this purpose by the county election officer of the county in which the hospital is located, it shall be the duty of the board of county commissioners, at its next regular meeting, to examine the petition. If the board of county commissioners finds that the petition is sufficient, regular and in due form as provided in this section, the board shall enter an order in its proceedings attaching the area described in the petition to the existing taxing district. The petition shall be accompanied by a copy of a resolution adopted by the board, which resolution shall state that the board desires such area to be attached to the taxing district of the hospital. For tax purposes attachment as provided herein shall be effective as provided in Kan. Stat. Ann. §§ 79-1807 and amendments thereto.