The Board of Supervisors of the District shall warn a special meeting of the District by filing a notice with the town clerk of each member municipality and by posting a notice in a minimum of three public places in each municipality in the District not less than 30 nor more than 40 days before the meeting. In addition, the warning shall be published in a newspaper of general circulation in the District once a week on the same day of the week for three consecutive weeks before the meeting, the last publication to be not less than five nor more than 10 days before the meeting.