A public school satisfying all requirements for public schools as determined by the New York State Education Commission, or a private school, as defined for purposes of this chapter, but in either case only after issuance of a special use permit therefor by the Board of Trustees, following a public hearing thereon, and subject to such reasonable conditions and safeguards with respect to traffic, parking and related issues as shall be determined by the Board of Trustees, and subject to the following further conditions:
(1) Each accessory building, structure and detached garage shall be located at least 100 feet from all street lines and all other property lines.
(2) The building area shall not exceed 20% of the lot area.
(3) There shall be one off-street parking space provided for:
(a) Each teacher and other faculty member; and
(b) Every five seats in the auditorium, gymnasium, grandstand or other similar facility located on the premises that has the largest seating capacity.
(4) Said premises shall provide outdoor playground and/or playfield facilities deemed adequate by the Board of Trustees in relation to the permitted use of said premises, taking into account the number and ages of the contemplated students.