Acreage Calculator
Calculate exact land acreage, square footage, hectares, boundary perimeter, fencing costs, and property valuation for rectangular lots, triangular parcels, trapezoidal road-frontage tracts, or reverse-solve lot dimensions from a target acreage.
217,800.00 sq ft • 2.0234 Hectares (20,234.28 m²) • 24,200.00 sq yd
Live Step-by-Step Calculation Breakdown
- Standardize Dimensions to Feet:
Length (L) = 660.00 ft(201.17 m) andWidth (W) = 330.00 ft(100.58 m). - Compute Gross Area in Square Feet:
Area = 660.00 ft × 330.00 ft = 217,800.00 sq ft(24,200.00 sq yd). - Convert Square Feet to Acres & Hectares:
Acres = 217,800.00 ÷ 43,560 = 5.0000 acres•Hectares = 20,234.28 m² ÷ 10,000 = 2.0234 ha. - Boundary Perimeter & Land Valuation:
Perimeter = 2 × (660.00 + 330.00) = 1,980.00 ft•Valuation = 5.0000 ac × $12,000.00/ac = $60,000.00.
| Land Area Unit | Converted Parcel Area | Standard Conversion Factor | Implied Unit Valuation |
|---|---|---|---|
| Acres (US / International) | 5.0000 ac | 1 acre = 43,560 sq ft | $12,000.00 / acre |
| Square Feet (sq ft) | 217,800.00 sq ft | 43,560 sq ft per acre | $0.2755 / sq ft |
| Square Yards (sq yd / Gaj) | 24,200.00 sq yd | 4,840 sq yd per acre (9 sq ft) | $2.48 / sq yd |
| Hectares (ha - Metric) | 2.0234 ha | 1 ha = 10,000 m² (2.47105 ac) | $29,652.65 / ha |
| Square Meters (m² - SI) | 20,234.28 m² | 4,046.8564224 m² per acre | $2.97 / m² |
| Square Chains (Gunter's Chain) | 50.0000 sq ch | 10 sq chains per acre (4,356 sq ft) | $1,200.00 / sq ch |
| Square Rods / Perches / Poles | 800.00 sq rd | 160 sq rods per acre (272.25 sq ft) | $75.00 / sq rod |
| Roods (Quarter-Acres) | 20.0000 roods | 4 roods per acre (10,890 sq ft) | $3,000.00 / rood |
| Square Miles (PLSS Sections) | 0.007813 sq mi | 1 sq mile = 640 acres | $7,680,000.00 / sq mi |
| Square Kilometers (km²) | 0.020234 km² | 1 km² = 100 hectares (247.105 ac) | $2,965,264.58 / km² |
| Arpents (French / Louisiana) | 5.9183 arpents | 1 arpent ≈ 0.844827 acres (36,801 sq ft) | $10,137.93 / arpent |
| US Football Fields (Playing Surface) | 4.5375 fields | 1 NFL field = 300 × 160 ft (48,000 sq ft) | $13,223.14 / field |
| Subdivision Scenario | Number of Lots | Net Area per Lot (Acres) | Area per Lot (Sq Feet / m²) | 2:1 Lot Dimensions (L × W) | Land Value per Lot |
|---|---|---|---|---|---|
| Whole Unsubdivided Parcel | 1 Lot | 5.0000 ac | 217,800 sq ft (20,234 m²) | 660.0 ft × 330.0 ft | $60,000.00 |
| 2 Equal Half-Parcels | 2 Lots | 2.5000 ac | 108,900 sq ft (10,117 m²) | 466.7 ft × 233.3 ft | $30,000.00 |
| 4 Equal Quarter-Tracts | 4 Lots | 1.2500 ac | 54,450 sq ft (5,059 m²) | 330.0 ft × 165.0 ft | $15,000.00 |
| User Selected Subdivision (5 Lots) | 5 Lots | 1.0000 ac | 43,560 sq ft (4,047 m²) | 295.2 ft × 147.6 ft | $12,000.00 |
| 10 Equal Rural Lots | 10 Lots | 0.5000 ac | 21,780 sq ft (2,023 m²) | 208.7 ft × 104.4 ft | $6,000.00 |
| Standard Quarter-Acre Subdivisions (0.25 ac) | 20.00 Lots | 0.2500 ac | 10,890 sq ft (1,012 m²) | 147.6 ft × 73.8 ft | $3,000.00 |
How to Calculate Acreage: Exact Formulas & Land Surveying Standards
An acre is the statutory unit of land area in the United States Customary and Imperial systems, defined historically as the area of one furlong (660 feet or 10 Gunter's chains) by one chain (66 feet or 4 rods), which equals exactly 43,560 square feet (4,840 square yards or 4,046.8564224 square meters).
1. Rectangular or Square Parcel Formula
For any rectangular plot of land with perpendicular corners, multiply the length by the width (converted to feet) and divide by 43,560:
Acres = [ Length (ft) × Width (ft) ] ÷ 43,560
Perimeter (ft) = 2 × [ Length (ft) + Width (ft) ] | Corner Diagonal (ft) = √(Length² + Width²)
2. Triangular Parcel Formula (Heron's 3-Sided Survey Method)
When surveying irregular parcels or triangular lots using three measured boundary lengths (a, b, and c), surveyors apply Heron's Formula via the semi-perimeter s:
Area (sq ft) = √[ s × (s − a) × (s − b) × (s − c) ]
Acres = Area (sq ft) ÷ 43,560
3. Trapezoidal Road-Frontage Lot Formula
For 4-sided parcels where the front road boundary (Side A) and rear property line (Side B) are parallel and separated by a perpendicular depth (H):
Acres = Area (sq ft) ÷ 43,560
4. Illustrative Verification Example (660 ft × 330 ft Parcel)
Consider a rectangular agricultural tract measuring 660 feet long (1 furlong) by 330 feet wide (0.5 furlong), priced at $12,000 per acre with perimeter fencing estimated at $15.00 per linear foot:
- Step 1 (Gross Square Footage): Multiply
660.00 ft × 330.00 ft = 217,800.00 sq ft(or24,200.00 sq yd). - Step 2 (Exact Acreage & Metric Conversion): Divide
217,800.00 sq ft ÷ 43,560 = 5.0000 Acres. In metric units,217,800.00 × 0.09290304 = 20,234.28 m², which equals2.0234 Hectares. - Step 3 (Boundary Perimeter & Diagonal): The total boundary perimeter is
2 × (660.00 + 330.00) = 1,980.00 linear feet(603.50 meters), and the corner-to-corner sightline diagonal is√(660² + 330²) = √544,500 = 737.90 feet. - Step 4 (Land Value & Fencing Cost): At
$12,000/acre, total property value is5.0000 × $12,000 = $60,000.00($0.2755 per sq ft). Enclosing the1,980.00 ftperimeter at$15.00/ftcosts$29,700.00, and subdividing into5 equal lotsyields five1.0000-acre (43,560 sq ft)homestead parcels worth$12,000.00each.
Frequently Asked Questions (FAQ)
How many square feet are in 1 acre of land?
There are exactly 43,560 square feet in 1 acre (equivalent to 4,840 square yards, 4,046.86 square meters, or 0.404686 hectares). A perfectly square 1-acre lot measures approximately 208.71 feet × 208.71 feet (208 feet 8.5 inches on each side).
How big is 1 acre compared to a US football field?
An American football playing field from goal line to goal line (300 feet × 160 feet) covers 48,000 square feet, meaning 1 acre (43,560 sq ft) is about 90.75% of an NFL playing field (or 75.6% of the full 57,600 sq ft stadium surface including both 30-foot end zones).
What are the dimensions of a 5-acre parcel of land?
A 5-acre parcel contains exactly 217,800 square feet (20,234.28 m² or 2.0234 hectares). In a classic 2:1 surveyor proportion (1 furlong by 0.5 furlong), a 5-acre lot measures exactly 660 feet × 330 feet with a 1,980-foot perimeter. If shaped as a perfect square, a 5-acre tract measures 466.69 feet × 466.69 feet.
How do I convert hectares to acres and square meters?
One metric hectare (ha) equals exactly 10,000 square meters or approximately 2.4710538 acres (107,639.10 square feet). To convert hectares to acres, multiply the hectare value by 2.4710538; to convert acres to hectares, multiply acres by 0.40468564.
How do surveyors measure irregular 4-sided or polygonal land parcels?
For a 4-sided lot with two parallel boundaries (such as a road frontage lot), multiply the average of the two parallel widths by the perpendicular depth. For completely irregular 4-sided lots without right angles, surveyors measure the four outer sides plus one corner-to-corner diagonal to split the parcel into two triangles, then sum both triangle areas using Heron's Formula.