How to Calculate Area of Land with Unequal Sides?

You've come to the right place if you're a surveyor or a landowner looking to determine how to calculate area of land with unequal sides. There are usually frequent issues encountered by surveyors or students when attempting to determine the area of an uneven property. If the land is square, rectangular, or triangular, the area of the land can be simply calculated using a simple geometrical formula. 

There are no fixed geometrical shapes such as a triangle, rectangle, or square in all plots or land. As a result, calculating the area of certain types of land that are not having a defined geometrical shape is typically problematic.

• Determine the length and width of the area you'll be working within feet (for short)

• The square feet are calculated by multiplying the length by the width. 

• Here's a simple formula to remember: Area in square feet = length (in feet) x breadth (in feet).

Divide the given shape into smaller regular shapes to find the area of irregular shapes. In the case of irregular shapes, the area is measured in square units. 

• Fundamentally, you can split up any piece of land with uneven sides into various small triangles or rectangles.

• Now you have to calculate the area of each triangle or each rectangle using a common formula. 

• Once you get the area of each triangle or rectangle in that piece of land. You can finally add them up to get the total area of that piece of land.

• The formula for computing the area of a triangle is:

  Area of a Triangle (A) =

  s(s-a)(s-b)(s-c)

  Here ‘s’ stands for semi-perimeter and a, b, and c are the triangle's sides. (sum of three sides)/ 2 = (a+b+c) divided by 2 is the value of this semi-perimeter. 

• The formula for computing the area of a rectangle is= Area (A) = w

  ×

  z. Where ‘z’ is the length and ‘w’ is the breadth of a rectangle.

This process will simplify the entire computing process and will answer the question of how to calculate area of land with unequal sides?

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I was going through my nephew’s maths textbook, and I discovered the process to calculate an area of plot with four different sides. Let me share my understanding with you all.

How to calculate area of land with 4 unequal sides?

• Calculating area of land with 4 unequal sides would require you to first, sketch out the land using the dimensions provided. Then make an appropriate diagonal. 

• Next, determine the areas of the two triangles that the diagonal creates. The size of the land is calculated by adding the areas of the two triangles.

• Now, use Heron's formula to calculate each triangle's area to determine a quadrilateral's area.

• Heron's formula to determine a triangle's area is [if a, b, and c are its sides]

• Triangle's area is equal to √[s(s-a)(s-b)(s-c)] square units

• Where "s" is the triangle's semi-perimeter, which equals (a+b+c)/2.

• The area of a quadrilateral is then obtained by adding the areas of two triangles.

Hope this will help you:)

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