If the sidewalk is not constructed, repaired, or rebuilt in the manner and within the time prescribed in the notice, the governing body shall order the work done by such person as it may have contracted with therefor, under the supervision of the city engineer or of the street commissioner in a city having no city engineer, at the expense of the lots or parcels of land benefiting from the sidewalk. The expense of constructing, repairing, or rebuilding the sidewalk shall include the expense of giving all notices required by the provisions of this chapter, of making assessments, and of any other nature incurred in doing such work.