In all proceedings under this act for taking land, rights, or property the trustees shall pass upon the convenience and necessity therefor at hearings held by them after giving notice to each owner or person interested therein of the time, place, and purpose of such hearing. Such notice shall give a description of the land, property, or rights to be taken and used. At such hearing the trustees shall determine the question of convenience and necessity and decide the question of damages and shall pay or tender the amount of such damages to the person or persons entitled to the same, in the same manner as is provided by law for selectmen in taking lands for highways and in awarding damage therefor. A person aggrieved by any act of the trustees in the taking of lands, rights, or property for the foregoing purposes and in the awarding of damages therefor may have the same right of appeal, and in the case of such appeal proceedings shall be had in the same manner as is provided for appeals from acts of selectmen in taking land and awarding damages for highway purposes.