(a) The owners of all lots abutting on the streets, alleys, or roadways, or portions thereof, vacated by an order of the county court, as provided for in § 14-18-108, shall have the right to have reduced to acreage such lots and the streets or alleys so vacated by petition to the county court where the property is situated.
(b) The county court shall promptly hear the petition and, upon proper showing that it is signed by all of the owners, shall order that the lots and streets, alleys, or roadways be reduced to acreage, and they shall thereafter be assessed as acreage for taxation of all kinds.
(c) The petition may be included in the petition for the vacation of the streets, alleys, or roadways, and the order may be included in the order vacating it, or the petition may be filed and the order entered separately.