(a)
(1) All improvement districts in cities and towns organized under §§ 14-88-203 — 14-88-205, 14-88-207 — 14-88-210, 14-88-301 — 14-88-303, 14-88-305, 14-88-306, 14-88-308, and 14-88-407 may be prolonged or continued after the completion of the improvement for which they were organized for the purpose of maintaining and keeping those improvements in a good state of repair, upon a petition of a majority in value of the owners of real property within the district adjoining the locality to be affected, to the city or town council, requesting that the life of the district be prolonged or continued for that purpose.
(2) The petition shall designate the time during which the maintenance and repair shall be undertaken, and the manner and estimated cost thereof, requesting that the cost be assessed and charged upon the real property situated within the district.
(b)
(1) Thereupon, the council shall provide by ordinance for the prolongation or continuation of the district as requested, and the board of assessors shall thereupon assess the value of all benefits to be received by the land owned by reason of the maintenance and keeping in repair of the improvement as affecting each of the blocks, lots, or parcels of land within the district.
(2) The board shall at once proceed to inscribe in the assessment book of the district the value of the benefits to accrue to each of the blocks, lots, or parcels of land.