If either party fails to construct or repair his or her portion of the fence in accordance with the provisions of section 272.060 within a reasonable time, the other may petition the associate circuit court of the county to authorize the petitioner to build or repair the fence in a manner to be directed by the court. If the court authorizes such action, the petitioner shall be given a judgment for that portion of the total cost of the fence which is chargeable as the other party’s portion of the fence, court costs and reasonable attorney’s fees. Any such judgment shall be a lien on the real estate of the party against whom the judgment may be given.