In all counties in this state in which there exists a conservancy district within the classification as provided in Section 73-18-25 N.M. Stat. Ann., or a major portion by area of such a conservancy district, the board of county commissioners of the county shall, on the first Monday in August 1955, by resolution to be made a part of the minutes of the board of county commissioners, divide the conservancy district into election precincts. If there is a municipality within the district, the municipality shall constitute one election precinct, and the conservancy district shall be divided into three election precincts, each of which election precincts shall have approximately equal acreage of irrigable land. Immediately after the action by the board of county commissioners, the clerk of the board of county commissioners shall transmit to the clerk of the conservancy district within the county, or the major portion of which is within that county, a certified copy of the resolution dividing the conservancy district into election precincts. The board of county commissioners shall redivide the district in the same manner in each sixth year after 1955. Immediately after the resolution is adopted, the clerk of the board of county commissioners shall file a certified copy of the resolution of the board of county commissioners in the office of the county clerk of the county.