Any city of the first class which shall have adopted a master street plan for the city and its environs, as provided by Kan. Stat. Ann. § 13-1109, may develop such master street plan outside the corporate limits and within three (3) miles thereof in accordance with agreements entered into pursuant to Kan. Stat. Ann. § 68-169. The governing body of any such city is further authorized to acquire the necessary rights-of-way and lands for such roads and highways by purchase, gift, dedication or condemnation as provided by law for opening, widening, extending or improving streets, and to pay the necessary costs of such acquisition in the same manner as provided by law for streets within the corporate limits of the city.