Setback & Buildable Area Calculator Formula
Understand the math behind the setback & buildable area calculator. Each variable explained with a worked example.
Formulas Used
Buildable Area (footprint)
buildable_sq_ft = buildable_areaTotal Lot Area
total_lot = total_lot_areaBuildable % of Lot
buildable_pct = total_lot_area > 0 ? (buildable_area / total_lot_area) * 100 : 0Buildable Width
build_width = buildable_width > 0 ? buildable_width : 0Buildable Depth
build_depth = buildable_depth > 0 ? buildable_depth : 0Max Total Floor Area (all stories)
max_total_floor = max_floor_areaVariables
| Variable | Description | Default |
|---|---|---|
lot_width | Lot Width (feet)(ft) | 75 |
lot_depth | Lot Depth (feet)(ft) | 120 |
front_setback | Front Setback (feet)(ft) | 25 |
rear_setback | Rear Setback (feet)(ft) | 20 |
side_setback | Side Setback Each Side (feet)(ft) | 8 |
num_stories | Planned Stories | 2 |
total_lot_area | Derived value= lot_width * lot_depth | calculated |
buildable_width | Derived value= lot_width - 2 * side_setback | calculated |
buildable_depth | Derived value= lot_depth - front_setback - rear_setback | calculated |
buildable_area | Derived value= buildable_width > 0 ? (buildable_depth > 0 ? buildable_width * buildable_depth : 0) : 0 | calculated |
max_floor_area | Derived value= buildable_area * num_stories | calculated |
How It Works
Setback & Buildable Area
Setbacks are the minimum required distances between a building and the property lines. They create the "buildable envelope" that constrains where a structure can be placed on a lot.
Setback Types
Calculating the Buildable Envelope
Buildable Width = Lot Width - (Side Setback x 2) Buildable Depth = Lot Depth - Front Setback - Rear Setback Buildable Area = Buildable Width x Buildable Depth
Additional Constraints
Setbacks define the maximum footprint, but the actual building may be smaller due to:
Worked Example
75 x 120 ft lot with 25 ft front setback, 20 ft rear setback, 8 ft side setbacks, planning a 2-story home.
- 01Total lot area: 75 x 120 = 9,000 sq ft
- 02Buildable width: 75 - (8 x 2) = 59 ft
- 03Buildable depth: 120 - 25 - 20 = 75 ft
- 04Buildable area: 59 x 75 = 4,425 sq ft
- 05Buildable as % of lot: 4,425 / 9,000 = 49.2%
- 06Max floor area (2 stories): 4,425 x 2 = 8,850 sq ft
Ready to run the numbers?
Open Setback & Buildable Area Calculator