Irregular Land Area Calculator

How to Calculate the Area of an Irregular Plot of Land

To calculate the area of an irregular plot of land, you first find the average of the front and back lengths of the plot. For example, if the front measures 20 meters and the back 32 meters, the average would be (20 + 32) / 2 = 26 meters.

Next, you calculate the average of the lengths of the right and left sides of the plot. For example, if the right side measures 41 meters and the left side 53 meters, the average would be (41 + 53) / 2 = 47 meters.

Then, to find the total area, you multiply these two averages together. In the given example, the area would be 26 meters (average of front and back) multiplied by 47 meters (average of right and left sides), resulting in 1,222 square meters.

How the Irregular Plot Area Calculator Works

The calculator for irregular plot areas operates in simple steps. First, you enter the lengths of the four sides of the plot: front, back, right side, and left side.

Next, the calculator finds the average of the front and back by adding these two lengths together and dividing the result by 2. Then, it calculates the average of the right and left side lengths by adding these lengths together and dividing the result by 2.

By multiplying these two averages, the calculator provides the total area of the plot. This method is based on the geometric properties of a scalene trapezoid, where the sides and angles can vary, reflecting the common irregularity found in real plots of land.

What is a Scalene Trapezoid?

A scalene trapezoid is a geometric figure defined by four sides of different lengths. Specifically, it is classified as scalene due to the absence of congruent sides—meaning none of the sides have the same measure. Consequently, the interior angles of the trapezoid also have different measures. This characteristic distinguishes the scalene trapezoid from other geometric shapes, making it unique for its variety of lateral and angular measurements.