§ 1713. Academy may be adopted as academic department. Whenever a union free school district shall be established under the provisions of article thirty-one, and there shall exist within the district an academy, the board of education, when authorized by a vote of the voters of the district, may adopt such academy as the academic department of the district, with the consent of the trustees of the academy, and thereupon the trustees by a resolution to be attested by the signatures of the officers of the board and filed in the office of the clerk of the county, shall declare their offices vacant, and thereafter the said academy shall be the academic department of such union free school district. The board of education when thereto authorized by a vote of the qualified voters of the district may lease said academy and site, and maintain the academic department of such union free school district therein and thereon.