. Size of the Building
- Building area = 100,000 square feet
- 1 acre = 43,560 square feet
- Building in acres =
100,000 / 43,560 = approx 2.3 acres
So the building itself occupies about 2.3 acres.
2. Footprint Dimensions
Assume the building is roughly square.
- Side length =
\sqrt{100,000} = approx 316 feet per side
So it’s about 316 ft × 316 ft.
3. Add the 1,000-Foot Setback
A setback extends 1,000 feet in every direction around the building.
- New side length =
316 + (1,000 \times 2) = 2,316 feet per side
So the entire “setback square” is 2,316 ft × 2,316 ft.
4. Area with Setback
- Total area =
2,316 8 * 2,316 = 5,360, 000 square feet
Convert to acres:
5,361,856 / 43,560 = approx 123.1 acres
5. Extra Land Wasted in Setback
- Total with setback: 123.1 acres
- Minus building footprint: 123.1 – 2.3 = 120.8 acres just for buffer.
6. Ratio: Setback Land vs Building Land
- Ratio =
120.8 / 2.3 = approx 52.5
So the setback consumes about 52 times more land than the building itself.