A certified copy of the resolution ordering the proposed improvement and the map or plat of the district referred to in Section 18161 shall be filed with each assessor whose roll is used for the levy, and with the State Board of Equalization. Compliance with this section shall be sufficient to meet the requirements of Chapter 8 (commencing with Section 54900), Part 1, Division 2, Title 5, of the Government Code. The map or plat shall show the precise location of the boundaries of the district and any zones thereof, and shall contain such information and data necessary to locate and retrace any and all such boundary lines, or shall be accompanied by a statement setting forth a legal description of such boundaries. Thereafter the assessor in making up the city assessment roll shall segregate the property included within the district on the assessment roll under the district designation contained in the resolution.