Calculate the area of rectangular plots of land in various units including square feet, acres, hectares, and more. Perfect for real estate, construction, and agriculture planning.
Formula used: Area = Length × Width
Calculation: 10 × 5 = 0.00 Square Meters
The Land Area Calculator is a simple yet powerful tool designed to help you accurately calculate the area of rectangular plots of land in various units of measurement. Whether you're a real estate professional estimating property size, a farmer planning crop distribution, a construction manager calculating material needs, or a homeowner measuring your garden space, this calculator provides fast and accurate results with minimal effort.
By entering just two measurements—length and width—you can instantly determine the area of your land in square feet, square meters, acres, hectares, and more. This eliminates the need for complex manual calculations and reduces the risk of costly errors in land area estimation. Our calculator is optimized for rectangular plots, which represent the most common land parcel shape in urban and agricultural settings.
The formula for calculating the area of a rectangular plot of land is straightforward:
Where:
For example, if you have a plot that is 100 feet long and 50 feet wide, the area calculation would be:
Our calculator supports multiple units of measurement. Here are the conversion factors used:
| From | To | Multiplication Factor |
|---|---|---|
| Square Meters | Square Feet | 10.7639 |
| Square Meters | Square Yards | 1.19599 |
| Square Meters | Acres | 0.000247105 |
| Square Meters | Hectares | 0.0001 |
| Square Meters | Square Kilometers | 0.000001 |
| Square Meters | Square Miles | 3.861 × 10⁻⁷ |
The calculator first converts all input measurements to meters, performs the area calculation, and then converts the result to the desired output unit using these conversion factors.
For practical purposes, the calculator displays results with appropriate precision based on the unit:
This approach balances accuracy with readability, providing sufficient precision for most real-world applications.
Follow these simple steps to calculate the area of your rectangular plot:
The calculator also provides a visual representation of your rectangular plot, helping you visualize the dimensions and proportions.
The calculated area represents the total surface area of your rectangular plot. The visualization helps you confirm that the dimensions you've entered match your expectations. If the result seems incorrect, double-check your input values and units.
Real estate professionals regularly need to calculate land areas for:
Example: A real estate developer is evaluating a rectangular plot measuring 150 feet by 200 feet. Using the calculator, they determine the area is 30,000 square feet or approximately 0.6889 acres. This information helps them assess whether the plot meets the minimum size requirements for their planned housing development.
Farmers and agricultural planners use land area calculations for:
Example: A farmer needs to calculate how much seed to purchase for a rectangular field measuring 400 meters by 250 meters. Using the calculator, they determine the area is 100,000 square meters or 10 hectares. With a seeding rate of 25 kg per hectare, they know to purchase 250 kg of seed.
Construction professionals and landscapers use area calculations for:
Example: A landscaper is planning to install sod in a rectangular yard measuring 60 feet by 40 feet. Using the calculator, they determine the area is 2,400 square feet. With sod typically sold in pallets covering 450 square feet, they know to order approximately 5.33 pallets (rounded up to 6 for waste allowance).
Homeowners and DIY enthusiasts use area calculations for:
Example: A homeowner wants to install new hardwood flooring in a rectangular room measuring 15 feet by 12 feet. Using the calculator, they determine the area is 180 square feet. Adding 10% for waste, they need to purchase 198 square feet of flooring material.
Urban planners and public works departments use area calculations for:
Example: A city planner is evaluating a rectangular parcel measuring 300 meters by 200 meters for a new public park. Using the calculator, they determine the area is 60,000 square meters or 6 hectares, which helps them assess whether the space meets the minimum size requirements for the planned recreational facilities.
While our calculator focuses on rectangular plots for simplicity and ease of use, there are alternative methods for calculating areas of different shapes:
Irregular Polygons: For irregularly shaped plots, you can:
Circular Areas: For circular plots, use the formula πr², where r is the radius of the circle.
Triangular Areas: For triangular plots, use the formula ½ × base × height, or the Heron's formula if you know all three side lengths.
Trapezoidal Areas: For trapezoidal plots, use the formula ½ × (a + c) × h, where a and c are the parallel sides and h is the height.
GPS and Satellite Measurements: Modern technology allows for precise area measurements using GPS devices or satellite imagery, especially useful for very large or irregularly shaped parcels.
The concept of measuring land area dates back to ancient civilizations, where it was crucial for agriculture, taxation, and property ownership.
In ancient Egypt (around 3000 BCE), the need to resurvey farmland after annual Nile flooding led to the development of geometry and area calculation methods. Egyptians used rope stretchers (harpedonaptai) to measure land and calculate areas.
Ancient Mesopotamians developed cuneiform mathematical texts that included area calculations for fields. The Babylonians used a standard unit called the "sar" for area measurement, equivalent to about 36 square meters.
The Romans introduced more systematic land measurement with units like the "jugerum" (approximately 0.25 hectares), which was defined as the area a pair of oxen could plow in one day.
In medieval Europe, land was often measured in "acres," originally defined as the area a yoke of oxen could plow in one day. The exact size varied by region until standardization efforts began.
The metric system, introduced during the French Revolution in the late 18th century, brought the square meter and hectare (10,000 square meters) as standardized units for area measurement.
In the United States and some other countries, the survey foot and the international foot have led to slightly different area calculations, though the difference is negligible for most practical purposes.
The 20th century saw significant advancements in land measurement technology:
Today, while sophisticated technology exists for precise measurements, the basic rectangular area formula (length × width) remains the foundation of land area calculation for regular plots.
For rectangular plots, the area is calculated by multiplying the length by the width. The formula is: Area = Length × Width. This gives you the area in square units (square feet, square meters, etc.) depending on your input units.
To convert square feet to acres, divide the area in square feet by 43,560 (the number of square feet in one acre). For example, 10,000 square feet ÷ 43,560 = 0.2296 acres.
A hectare is a metric unit equal to 10,000 square meters (about 2.47 acres), while an acre is an imperial unit equal to 43,560 square feet (about 0.4047 hectares). Hectares are commonly used internationally, while acres are more common in the United States and United Kingdom.
This calculator provides highly accurate results for rectangular plots based on the measurements you enter. The precision is typically 2 decimal places for square meters and square feet, and 4 decimal places for acres and hectares, which is sufficient for most practical purposes.
This calculator is specifically designed for rectangular plots. For irregular shapes, you would need to either:
For small plots, you can use a measuring tape or laser distance meter. For larger areas, consider using a surveyor's wheel, GPS device, or professional surveying services. Always measure the longest side as the length and the perpendicular side as the width.
Land area is crucial in real estate because it:
Since a square has equal sides, simply measure one side and square it (multiply it by itself). For example, if one side is 50 feet, the area is 50 × 50 = 2,500 square feet.
The most common units are:
To calculate fencing requirements, you need the perimeter, not the area. Add twice the length and twice the width: Perimeter = 2 × Length + 2 × Width. This gives you the total linear distance around your rectangular plot.
1' Simple Excel formula for rectangular area
2=A1*B1
3
4' Excel function for area with unit conversion
5Function LandArea(Length As Double, Width As Double, InputUnit As String, OutputUnit As String) As Double
6 Dim AreaInSquareMeters As Double
7
8 ' Convert input dimensions to meters
9 Select Case InputUnit
10 Case "meters": AreaInSquareMeters = Length * Width
11 Case "feet": AreaInSquareMeters = (Length * 0.3048) * (Width * 0.3048)
12 Case "yards": AreaInSquareMeters = (Length * 0.9144) * (Width * 0.9144)
13 End Select
14
15 ' Convert area to output unit
16 Select Case OutputUnit
17 Case "squareMeters": LandArea = AreaInSquareMeters
18 Case "squareFeet": LandArea = AreaInSquareMeters * 10.7639
19 Case "acres": LandArea = AreaInSquareMeters * 0.000247105
20 Case "hectares": LandArea = AreaInSquareMeters * 0.0001
21 End Select
22End Function
231// Basic area calculation
2function calculateArea(length, width) {
3 return length * width;
4}
5
6// Area with unit conversion
7function calculateLandArea(length, width, fromUnit, toUnit) {
8 // Conversion factors to square meters (base unit)
9 const LENGTH_UNITS = {
10 meters: 1,
11 feet: 0.3048,
12 yards: 0.9144,
13 kilometers: 1000,
14 miles: 1609.34
15 };
16
17 // Conversion factors from square meters
18 const AREA_UNITS = {
19 squareMeters: 1,
20 squareFeet: 10.7639,
21 squareYards: 1.19599,
22 acres: 0.000247105,
23 hectares: 0.0001,
24 squareKilometers: 0.000001,
25 squareMiles: 3.861e-7
26 };
27
28 // Convert length and width to meters
29 const lengthInMeters = length * LENGTH_UNITS[fromUnit];
30 const widthInMeters = width * LENGTH_UNITS[fromUnit];
31
32 // Calculate area in square meters
33 const areaInSquareMeters = lengthInMeters * widthInMeters;
34
35 // Convert to desired area unit
36 return areaInSquareMeters * AREA_UNITS[toUnit];
37}
38
39// Example usage
40const plotLength = 100;
41const plotWidth = 50;
42const area = calculateLandArea(plotLength, plotWidth, 'feet', 'acres');
43console.log(`The area is ${area.toFixed(4)} acres`);
441def calculate_land_area(length, width, from_unit='meters', to_unit='square_meters'):
2 """
3 Calculate land area with unit conversion
4
5 Parameters:
6 length (float): Length of the plot
7 width (float): Width of the plot
8 from_unit (str): Unit of input dimensions ('meters', 'feet', 'yards', etc.)
9 to_unit (str): Unit for output area ('square_meters', 'square_feet', 'acres', 'hectares', etc.)
10
11 Returns:
12 float: Calculated area in the specified output unit
13 """
14 # Conversion factors to meters (base unit)
15 length_units = {
16 'meters': 1,
17 'feet': 0.3048,
18 'yards': 0.9144,
19 'kilometers': 1000,
20 'miles': 1609.34
21 }
22
23 # Conversion factors from square meters
24 area_units = {
25 'square_meters': 1,
26 'square_feet': 10.7639,
27 'square_yards': 1.19599,
28 'acres': 0.000247105,
29 'hectares': 0.0001,
30 'square_kilometers': 0.000001,
31 'square_miles': 3.861e-7
32 }
33
34 # Validate inputs
35 if length <= 0 or width <= 0:
36 raise ValueError("Length and width must be positive values")
37
38 # Convert length and width to meters
39 length_in_meters = length * length_units.get(from_unit, 1)
40 width_in_meters = width * length_units.get(from_unit, 1)
41
42 # Calculate area in square meters
43 area_in_square_meters = length_in_meters * width_in_meters
44
45 # Convert to desired area unit
46 return area_in_square_meters * area_units.get(to_unit, 1)
47
48# Example usage
49plot_length = 100
50plot_width = 50
51area = calculate_land_area(plot_length, plot_width, 'feet', 'acres')
52print(f"The area is {area:.4f} acres")
531public class LandAreaCalculator {
2 // Conversion factors
3 private static final double FEET_TO_METERS = 0.3048;
4 private static final double YARDS_TO_METERS = 0.9144;
5 private static final double SQUARE_METERS_TO_SQUARE_FEET = 10.7639;
6 private static final double SQUARE_METERS_TO_ACRES = 0.000247105;
7 private static final double SQUARE_METERS_TO_HECTARES = 0.0001;
8
9 /**
10 * Calculate rectangular land area
11 * @param length Length of the plot
12 * @param width Width of the plot
13 * @param fromUnit Unit of input dimensions ("meters", "feet", "yards")
14 * @param toUnit Unit for output area ("squareMeters", "squareFeet", "acres", "hectares")
15 * @return Calculated area in the specified output unit
16 */
17 public static double calculateArea(double length, double width, String fromUnit, String toUnit) {
18 if (length <= 0 || width <= 0) {
19 throw new IllegalArgumentException("Length and width must be positive values");
20 }
21
22 // Convert length and width to meters
23 double lengthInMeters = length;
24 double widthInMeters = width;
25
26 switch (fromUnit) {
27 case "feet":
28 lengthInMeters = length * FEET_TO_METERS;
29 widthInMeters = width * FEET_TO_METERS;
30 break;
31 case "yards":
32 lengthInMeters = length * YARDS_TO_METERS;
33 widthInMeters = width * YARDS_TO_METERS;
34 break;
35 }
36
37 // Calculate area in square meters
38 double areaInSquareMeters = lengthInMeters * widthInMeters;
39
40 // Convert to desired output unit
41 switch (toUnit) {
42 case "squareFeet":
43 return areaInSquareMeters * SQUARE_METERS_TO_SQUARE_FEET;
44 case "acres":
45 return areaInSquareMeters * SQUARE_METERS_TO_ACRES;
46 case "hectares":
47 return areaInSquareMeters * SQUARE_METERS_TO_HECTARES;
48 default:
49 return areaInSquareMeters; // Default to square meters
50 }
51 }
52
53 public static void main(String[] args) {
54 double plotLength = 100;
55 double plotWidth = 50;
56 double area = calculateArea(plotLength, plotWidth, "feet", "acres");
57 System.out.printf("The area is %.4f acres%n", area);
58 }
59}
601using System;
2
3public class LandAreaCalculator
4{
5 // Conversion factors
6 private const double FEET_TO_METERS = 0.3048;
7 private const double YARDS_TO_METERS = 0.9144;
8 private const double SQUARE_METERS_TO_SQUARE_FEET = 10.7639;
9 private const double SQUARE_METERS_TO_ACRES = 0.000247105;
10 private const double SQUARE_METERS_TO_HECTARES = 0.0001;
11
12 public static double CalculateArea(double length, double width, string fromUnit, string toUnit)
13 {
14 if (length <= 0 || width <= 0)
15 {
16 throw new ArgumentException("Length and width must be positive values");
17 }
18
19 // Convert length and width to meters
20 double lengthInMeters = length;
21 double widthInMeters = width;
22
23 switch (fromUnit.ToLower())
24 {
25 case "feet":
26 lengthInMeters = length * FEET_TO_METERS;
27 widthInMeters = width * FEET_TO_METERS;
28 break;
29 case "yards":
30 lengthInMeters = length * YARDS_TO_METERS;
31 widthInMeters = width * YARDS_TO_METERS;
32 break;
33 }
34
35 // Calculate area in square meters
36 double areaInSquareMeters = lengthInMeters * widthInMeters;
37
38 // Convert to desired output unit
39 switch (toUnit.ToLower())
40 {
41 case "squarefeet":
42 return areaInSquareMeters * SQUARE_METERS_TO_SQUARE_FEET;
43 case "acres":
44 return areaInSquareMeters * SQUARE_METERS_TO_ACRES;
45 case "hectares":
46 return areaInSquareMeters * SQUARE_METERS_TO_HECTARES;
47 default:
48 return areaInSquareMeters; // Default to square meters
49 }
50 }
51
52 public static void Main()
53 {
54 double plotLength = 100;
55 double plotWidth = 50;
56 double area = CalculateArea(plotLength, plotWidth, "feet", "acres");
57 Console.WriteLine($"The area is {area:F4} acres");
58 }
59}
601<?php
2/**
3 * Calculate land area with unit conversion
4 *
5 * @param float $length Length of the plot
6 * @param float $width Width of the plot
7 * @param string $fromUnit Unit of input dimensions
8 * @param string $toUnit Unit for output area
9 * @return float Calculated area in the specified output unit
10 */
11function calculateLandArea($length, $width, $fromUnit = 'meters', $toUnit = 'squareMeters') {
12 // Conversion factors to meters (base unit)
13 $lengthUnits = [
14 'meters' => 1,
15 'feet' => 0.3048,
16 'yards' => 0.9144,
17 'kilometers' => 1000,
18 'miles' => 1609.34
19 ];
20
21 // Conversion factors from square meters
22 $areaUnits = [
23 'squareMeters' => 1,
24 'squareFeet' => 10.7639,
25 'squareYards' => 1.19599,
26 'acres' => 0.000247105,
27 'hectares' => 0.0001,
28 'squareKilometers' => 0.000001,
29 'squareMiles' => 3.861e-7
30 ];
31
32 // Validate inputs
33 if ($length <= 0 || $width <= 0) {
34 throw new InvalidArgumentException("Length and width must be positive values");
35 }
36
37 // Convert length and width to meters
38 $lengthInMeters = $length * ($lengthUnits[$fromUnit] ?? 1);
39 $widthInMeters = $width * ($lengthUnits[$fromUnit] ?? 1);
40
41 // Calculate area in square meters
42 $areaInSquareMeters = $lengthInMeters * $widthInMeters;
43
44 // Convert to desired area unit
45 return $areaInSquareMeters * ($areaUnits[$toUnit] ?? 1);
46}
47
48// Example usage
49$plotLength = 100;
50$plotWidth = 50;
51$area = calculateLandArea($plotLength, $plotWidth, 'feet', 'acres');
52printf("The area is %.4f acres\n", $area);
53?>
54Bengtsson, L. (2019). "Land Measurement and Survey Systems." In Encyclopedia of Soil Science, Third Edition. CRC Press.
Food and Agriculture Organization of the United Nations. (2022). "Land area measurement and spatial metrics." FAO.org
International Bureau of Weights and Measures. (2019). The International System of Units (SI), 9th edition. BIPM.
National Institute of Standards and Technology. (2021). "Units and Measurement." NIST.gov
Zimmerman, J. R. (2020). Land Surveying Mathematics Simplified. CreateSpace Independent Publishing Platform.
Our Land Area Calculator makes it easy to determine the exact size of your rectangular plot in any unit you need. Whether you're planning a construction project, evaluating a property purchase, or simply curious about the dimensions of your yard, this tool provides quick and accurate results.
Start by entering your plot's length and width, select your preferred units, and get instant area calculations. The visual representation helps you confirm your measurements are correct, and you can easily copy the results for use in reports, planning documents, or communications with contractors.
For more complex shapes or specialized surveying needs, consider consulting with a professional land surveyor who can provide detailed measurements and documentation.
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