A petition for any such improvements shall be made to the county board, signed by one or more owners of lots and lands which shall be benefited thereby, which petition shall be filed with the county clerk, shall set forth the necessity of the proposed improvement and describe the route and termini thereof with reasonable certainty, and shall be accompanied by a good and sufficient bond signed by two or more sureties, to be approved by the county clerk, conditioned for the payment of all costs that may accrue in case the county board shall find against such improvement.