The Board of Trustees of the Village of Medina may cause any highway improvement to be made on its own motion pursuant to the following procedure: Upon the approval of plans and specifications for such highway improvement by the Board of Trustees, such Board of Trustees, by majority vote, may pass a resolution of intention to make such improvements and provide for the method of apportioning the cost thereof, and a public hearing therefor called by the Board of Trustees shall be held thereupon. The notice shall state the time and place of the hearing and, in general terms, the purpose thereof and the proposed method of apportioning the costs of the contemplated improvement, and such notice shall be published at least twice in the official newspaper of the Village, the first publication to be made not less than 10 days before the date of the hearing. After the hearing, the Board of Trustees may determine to proceed with such highway improvement or may abandon the same.