Whenever the governing body of a city of the second class or village deems it necessary to make the improvements in section 17-509 which are to be funded by a levy of special assessment on the property specially benefited, such governing body shall by ordinance create an improvement district and, after the passage, approval, and publication of such ordinance, shall publish notice of the creation of any such district for six days in a legal newspaper in or of general circulation in the city or village if such legal newspaper is a daily newspaper or for two consecutive weeks if such legal newspaper is a weekly newspaper. If the owners of the record title representing more than fifty percent of the front footage of the property directly abutting on the street or alley to be improved file with the city clerk or village clerk within twenty days after the first publication of such notice written objections to the creation of such district, such improvement shall not be made as provided in such ordinance, but such ordinance shall be repealed. If objections are not filed against the district in the time and manner prescribed in this section, the governing body shall immediately cause such work to be done or such improvement to be made, shall contract for the work or improvement, and shall levy special assessments on the lots and parcels of land abutting on or adjacent to such street or alley specially benefited in such district in proportion to such benefits to pay the cost of such improvement.