Land Area Calculator

Plot area from measured sides or corner coordinates, in metric and US units at once.

Calculator

m
m

Example Result

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The calculated result will appear here after you press Calculate.

About the Land Area Calculator

Most plots of land are not neat rectangles, but almost any plot can be measured as a set of triangles. Enter the length and width of a rectangular plot, the three sides of a triangle, the dimensions of an L-shape, the four sides and one diagonal of a four-sided plot, or the coordinates of every corner; the calculator returns the area in square metres, square feet, square yards, acres and hectares. The guide below works a real-shaped plot two ways, gives the exact acre and hectare conversions, and explains the two mistakes that most often inflate a measured area: measuring along a slope and assuming corners are square.

How to Use the Land Area Calculator

  1. 1

    Select the shape: rectangle, triangle, L-shape, four sides with a diagonal, or corner coordinates.

  2. 2

    Enter the measurements in metres or feet — horizontal distances, not along a slope.

  3. 3

    Click Calculate to see the area in m², ft², square yards, acres and hectares.

Land Area Calculator Examples

By O.E. — Partner, chairman of the board and CEO of a metal products manufacturer for 21 years; the company exports to 45 countries.

Drafted with AI assistance; calculations checked against primary sources and tested with the site's own code. About FlowUtil

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Formulas for each shape

Rectangle: L × W. Triangle from three sides (Heron): √(s(s−a)(s−b)(s−c)), s = (a+b+c)/2 — no angles needed, which is why it suits tape measurements. L-shape: full rectangle minus the cut-out. Four sides and one diagonal: two Heron triangles. Corner coordinates (shoelace): ½ |Σ (xᵢ yᵢ₊₁ − xᵢ₊₁ yᵢ)| for any polygon whose sides do not cross, with as many corners as you like.

A four-sided plot, measured two ways

  1. 1Corners at (0, 0), (62, 0), (70, 41) and (8, 47) metres.

    ½ × |0 + 2,542 + 2,962 + 0|

    2,752 m² = 0.2752 ha = 0.680 acres = 29,622 ft²

  2. 2The same plot by tape: sides 62.00, 41.77, 62.29 and 47.68 m, and the diagonal from the first to the third corner, 81.12 m.

    Heron: 1,270.91 + 1,481.15

    2,752.06 m²

    Four sides alone are not enough — a four-sided shape with fixed sides can lean like a parallelogram, changing its area. One diagonal fixes it.

  3. 3A 50 m × 30 m rectangle; a right-triangular corner with sides 30, 40 and 50 ft.

    L × W · Heron

    1,500 m² = 0.15 ha = 0.3707 acres · 600 ft² (55.7 m²)

Acres, hectares and the end of the survey foot

UnitSquare metresSquare feet
1 hectare10,000107,639
1 acre4,046.856422443,560
1 square yard0.836127369

One hectare is 2.471 acres; one acre is a square about 63.6 m (208.7 ft) on a side. Until the end of 2022 US land measurements could be based on the US survey foot, which made an acre 4,046.873 m². NIST and the National Geodetic Survey have since retired the survey foot, so the international foot (exactly 0.3048 m) applies; older deeds and state plane coordinates may still use the survey foot.

Two common measuring errors

  • Measuring along the slopeLand area is horizontal (plan) area. On a 15% slope, 100 m along the ground is 98.9 m horizontally, so a 100 × 50 m plot measured down the slope overstates the area by about 1.1%.
  • Assuming square cornersMeasure both diagonals of a "rectangle": if they differ, use the four-sides-plus-diagonal or coordinate method.
  • Legal areaFor a sale, a boundary dispute or a planning application, the legal area is the one on the survey or title documents, measured by a licensed surveyor.

Sources

Frequently Asked Questions

How do I calculate the area of an irregular plot?

Split it into triangles with diagonals and use Heron's formula on each, or enter the corner coordinates.

How many square metres are in an acre?

Exactly 4,046.8564224 m² (43,560 ft²); one hectare is 10,000 m², or 2.471 acres.

Why do I need a diagonal for a four-sided plot?

Four sides do not fix the shape; one diagonal does.

Should I measure along the ground on a slope?

No — land area is horizontal area; correct sloping measurements by cos(slope angle).

What is Heron's formula?

The area of a triangle from its three sides: √(s(s−a)(s−b)(s−c)) with s the half-perimeter.

What is the shoelace formula?

The area of a polygon from its corner coordinates, listed in order around the boundary.

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