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23 <br />Table B2. Sliding scale using four increments for open space provision. <br />Percentage range (33% - <br />50 %) is <br />Lot size is decreased by increments of 29,040 sq. ft. <br />divided into 3 equal increments <br />and rounded to nearest whole number. 29,040 sq. ft. <br />Of 5.67 <br />is the difference between 3 acres (max. lot size) and 1 <br />acre (min. lot size) divided by 3 (the chosen number of <br />(50 -33)/3 <br />33.00 <br />increments between 33% and 50 %). <br />A <br />38.67 <br />B <br />Starting with 33 %, <br />99,932 <br />Starting with X = 130,680 sq. ft. at 33% open space, <br />X =A +5.67 <br />72,600 <br />B= Xminus <br />74,308 <br />45.00 <br />(130,680 sq.ft.— 43,560 sq.ft.) /3 <br />43,5601 <br />50.00 <br />43,560 <br />% open <br />55.671 <br />Min. <br />space <br />40,000 <br />Lot size <br />33.00 <br />130,680 <br />38.67 <br />101,640 <br />44.331 <br />72,600 <br />50.001 <br />43,560 <br />A fifth increment is added to permit 40,000 sq. ft. lots with the provision of 54% or greater open <br />space. (Forty- thousand sq. -ft. is the smallest lot allowed by the zoning ordinance for areas <br />without water and sewer service. Public roads are required for subdivisions within transition <br />areas, areas in the county where water and sewer service is available or may be extended.) <br />A subdivision with 50% open space can be accommodated on the least amount of land <br />required for a 12 -lot subdivision using the sliding scale because the overall density of the <br />zoning district must be maintained. If smaller lots than allowed by the overall density <br />requirement (1 DU /2acres) are permitted (i.e. 40,000 sq. ft. lots), more than 50% of the <br />acreage must be preserved in open space in order to maintain zoning density requirements. <br />Therefore, a 40,000 sq. ft. lot would still require 2 acres of land per buildable lot with 54% of <br />the total acreage preserved in open space. 40,000 sq. ft. = 46% of the required 87,120 sq. ft. <br />(40,000/87,120 =.4591 or 45.91 %); required open space = 54% or (100 % -46 %). However, <br />40,0.00 sq. ft. lots may be allowed with any open space requirement greater than 54 %. <br />The following Tables B3. and B4. show the progression from calculations of equal increments <br />to the recommended open space requirement intervals used for the sliding scale. <br />Table B3. Formulation of open space percentages recommended for sliding scale. <br />Equal <br />increments <br />Minimum lot size <br />(sq. ft.) <br />(from Table B2.) <br />Increments <br />rounded to nearest <br />whole percentages <br />Minimum lot size <br />(sq. ft.) <br />(from Table B1.) <br />Recommended <br />increments' <br />33.00 <br />130,680 <br />33.00 <br />130,680 <br />33.00 <br />38.67 <br />101,640 <br />39.00 <br />99,932 <br />40.00 <br />44.33 <br />72,600 <br />44.00 <br />74,308 <br />45.00 <br />50.00 <br />43,5601 <br />50.00 <br />43,560 <br />50.00 <br />55.671 <br />40,000-1 <br />56.00 <br />40,000 <br />55.00 <br />