How To Calculate Area Of Land With Unequal Sides (2024)

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Diksha

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February 14, 2022

Abhilasha

42023-09-06T09:55:06+00:00 September 6, 2023

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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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Mandira Jain

42022-02-17T19:17:32+00:00 February 17, 2022

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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.

What is the formula for calculating land area?

  • 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).

How to calculate square feet of land with uneven sides?

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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How to calculate irregular land area?How to calculate land area in square feet?

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How To Calculate Area Of Land With Unequal Sides (2024)

FAQs

How do you find the 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.

How to calculate area with different sides? ›

Steps to find the area of an irregular shape
  1. Find all the unknown sides.
  2. Divide the irregular shape into squares and rectangles.
  3. Find the area of each individual squares and rectangles.
  4. Add all the individual areas to find the total area of the irregular shape. Total area = sum of all individual areas.
Sep 25, 2022

How to calculate the acreage of an irregular lot? ›

To calculate the acreage, the length and width of the land, which is usually given in feet, is multiplied to get the area in square feet. Then, this area in square feet is converted to acres by using the conversion factor of 43560.

How to find area with different lengths? ›

To find the area of an irregular shape, we first break the shape into common shapes. Then we find the area of each shape and add them. For example, if an irregular polygon is made up of a square and a triangle, then: Area of irregular polygon = Area of Square + Area of Triangle.

How to calculate area of 5 different sides? ›

The formula used to find the area of a regular pentagon, A=14√5(5+2√5)s2 A = 1 4 5 ( 5 + 2 5 ) s 2 where 's' is the length of one side of the regular pentagon.

How do you compute areas along irregular boundaries? ›

The trapezoidal rule and Simpson's 1/3 rule are the most common methods for computation of the area of irregular boundary. The trapezoidal rule assumes that the irregular boundary is composed of segments of straight lines while Simpson's 1/3 rule assumes parabolic curves.

How do you find the area of an uneven? ›

The area of an irregular shape is the entire region covered by that shape on a two-dimensional plane. To find the area of an irregular shape, it can be divided into multiple familiar shapes, such as triangles, squares, and rectangles. Then, we can get the total area by adding the area of those smaller shapes.

What is the formula for area of an irregular shape? ›

Area of Irregular Shapes Formula

To find the Area of Irregular Shapes, first, we need to divide the Irregular Shape into Regular Shapes that you can recognize such as triangles, rectangles, circles, Squares and so forth. Then, find the Area of these individual Shapes and add them to get an Area of Irregular Shapes.

How to find the area of a rectangle with unequal sides? ›

To find the area of a rectangle, multiply its width by its height. If we know two sides of the rectangle that are different lengths, then we have both the height and the width.

How to calculate square feet with uneven sides? ›

To calculate the square footage of an irregular shape, divide the irregular shape into smaller shapes, find the area of each, and then add up all the results.

How do you find the area of a shape with 3 different sides? ›

Using this, the area of a triangle (A) with 3 sides a, b, and c is calculated using the formula A = √[s(s-a)(s-b)(s-c)], where 's' is the semi-perimeter of the triangle given by s = (a + b + c)/2.

How do you calculate irregular plot of land? ›

How to calculate irregular plot area?
  1. For a rectangle, use the formula: Area = length x breadth.
  2. For a square, use the formula: Area = (length of sides)^ ...
  3. For a triangular, use the formula: Area = ½ x base x height.
  4. For a circle, Area = 3.14 x (radius from the center of land to any edge of land)^

How do you measure an irregular shaped yard? ›

Irregular Shapes

Formula: Measure the length of the longest axis across the area. Every 10 feet along the length, measure the width of the area at right angles to the length line. Total all widths and multiply by 10. Example: A= (40' + 30' + 50') x 10 = 1,200 sq.

What is considered an irregular lot? ›

Irregular Lot means a lot which is neither in the shape of a rectangle or a square.

How do you find the area of a 4 sided shape? ›

The area of a "simple" quadrilateral, like a square or a rectangle, is its width times its height: A=wh.

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