When the permanent improvement of a road or roads was brought about or caused to be done by the benefit district plan and as provided in Kan. Stat. Ann. §§ 68-701 to 68-714, any such road or roads may be reconstructed or reimproved by petition filed, as therein provided with the board of county commissioners of any county where such road or roads may be located, and said statutes and the methods and procedure therein set forth are hereby made applicable to the reconstruction or reimprovement of any such road or roads, and any such road or roads may be reconstructed or reimproved in the same manner and by the methods set forth in said statutes.