In lieu of the method of apportionment prescribed in §§ 31-13-44 and 31-13-45, it may be provided in and by the resolution determining the necessity of any street improvement that the cost shall be assessed against all assessable lots and tracts of land fronting or abutting thereon or lying within one-half block or three hundred feet thereof, whichever is less, according to the benefits determined by the board of supervisors to accrue to each of such lots and tracts from the construction of the improvement. In that event the board of supervisors, in preparing, considering, and hearing objections to the assessment, shall make such investigation as may be necessary and shall find and determine the amount in which each such lot and tract will be especially benefited by the construction of the improvement. The board of supervisors shall assess against each such lot and tract an amount, not exceeding the benefit, as shall be necessary to pay its just portion of the total cost of the work to be assessed.
SDCL 31-13-46