(1) As an alternative method for the assessment of the lands in the district and in lieu of the method of assessment provided by sections 37-23-101 to 37-23-108, the board of directors may adopt the following method for the assessment of the benefits derived from the system of drainage adopted:

(a) As soon as the plans for a drainage system have been determined and before the actual work of drainage is begun or bonds voted, the board of directors shall assess the amount of benefits which, by means of the contemplated drainage, will accrue to each tract of land comprising forty acres, more or less, according to the legal or recognized subdivisions. The assessed benefits shall represent the increased value which, in the judgment of the directors, will accrue to the lands in the district because of the contemplated drainage. The board of directors shall prepare a report of its findings which shall be arranged in tabular form, the columns of which shall be headed as follows: Column 1, "Owner of property assessed"; column 2, "Description of property assessed"; column 3, "Number of acres assessed"; column 4, "Amount of benefits assessed". The board of directors shall also estimate the cost of the works set out in the plans for the drainage system, which estimate shall include the probable expenses of district organization and administration. Said report shall be signed by the president of the district with the seal of the district thereto affixed, and attested by the secretary, and one copy thereof shall be filed by the secretary in the office of the county clerk and recorder of the county where the organization is effected and one copy thereof in the office of the district.

(b) Upon the filing of the report, the secretary of the district shall give notice thereof by causing publication to be made in some newspaper published in each county in which lands affected are located. Such notice shall be in substantially the following form:

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