City may petition to become part of county

After the date of adoption of the urban county executive form of government, a city contiguous to or within the limits of such a county may petition, by action of its governing body, to become a part of the county on terms set forth in a resolution adopted by the board. Passage of a referendum within the petitioning city shall constitute approval of the city becoming a district of the county or a part or parts of one or more districts and action of the board shall constitute final approval thereof by the county.