Área Terreno (shoelace 4 pontos)
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The Area Terreno calculator uses the shoelace formula, a simple technique to calculate the area of a polygonal terrain with 4 points. This formula is especially useful in topography and civil engineering.
The shoelace formula is based on the sum of the products of the x and y coordinates of adjacent points, multiplied by -1 to alternate the perimeter direction. This creates a kind of 'cordoncillo' that, when summed, equals the terrain area.
This calculator is ideal for use when you need to calculate the area of a terrain with 4 points, such as a square, rectangle or an irregular terrain with 4 vertices. Make sure you have the exact coordinates of the points to get accurate results.
Note that this formula assumes the terrain is closed and the coordinates are in a Cartesian coordinate system.
Frequently asked questions
What is the shoelace and why is it useful?
The shoelace is a calculation technique that uses the sum of the products of the x and y coordinates of adjacent points, multiplied by -1 to alternate the perimeter direction. It is useful for calculating the area of a polygonal terrain with 4 points.
Can I use this calculator for terrains with more than 4 points?
No, this calculator is specific to terrains with 4 points. For terrains with more points, it is recommended to use other formulas or calculation methods.
How can I get accurate results?
To get accurate results, make sure you have the exact coordinates of the terrain points and use the shoelace formula correctly.
What is a closed terrain?
A closed terrain is a terrain that does not have vertices that connect to other terrains. In other words, it is a single closed body.
What is a Cartesian coordinate system?
A Cartesian coordinate system is a coordinate system that uses the x and y coordinates to locate points on a plane.