The Board of Supervisors may, from time to time, amend, supplement, change, modify or repeal this chapter, including the Zoning Map, by proceeding in the manner prescribed in this article.

Whenever the owners of 50% or more of the area in any district shall present to the Board of Supervisors a petition, duly signed and acknowledged, requesting an amendment, supplement, change, modification or repeal of any of the regulations or restrictions prescribed by this chapter for their district or a change or modification of the Zoning Map with reference to such district, it shall be the duty of the Board of Supervisors to hold a public hearing thereon and cause notice thereof to be given in the manner prescribed in § 230-188 above.

In case of a protest against any proposed amendment, supplement, change, modification or repeal signed by the owners of 20% or more, either of the area of the lots included in such proposed change or of those immediately adjacent in the rear or in the front or to either side thereof, extending 100 feet therefrom, such amendment shall not become effective except by favorable vote of a majority of the members of the Board of Supervisors.

The Board of Supervisors shall refer each petition or proposal for change or amendment under this article XXIV to the Planning Commission, which shall consider whether or not such proposed change or amendment would be, in the view of the Commission, consistent with and desirable in furtherance of the Comprehensive Plan upon which this chapter is based, as the same may be modified from time to time. The Commission shall transmit its conclusion thereon within a reasonable period of time, together with its reasons therefor, to the Board of Supervisors. The Board of Supervisors shall take such conclusion and reasons into consideration in reaching its decision but shall not be bound thereby.