How Do You Calculate The Size Of An Irregular Plot? | Irregular Shape Plot Area Calculation | Part-1

How Do You Calculate The Size Of An Irregular Plot? Plot Area Calculation

In this article, let's look at some irregular shapes of land or plot area, and calculate the area of those areas using mathematical formulas.

Example -1:

To find the area of the plot for given below shape

 

Solution:

Method - 1:

The area of plot can find out by using the trapezoidal area formula

Therefore:

Area = 1/2 x [ a+ b ] x h

Area = 0.5 x [25+ 35] x 18

Area = 540 sqft

 

Method - 2:

Area of plot can be found out by using thumb rule

Therefore: Dividing area in to parts

 

A1 = Area-1 = 0.5 x 5 x 18 = 45.0 Ft²

A2 = Area-2 = 25 x 18 = 450 Ft²

A3 = Area-3 = 0.5 x 5 x 18 = 45.0 Ft²

Total area of plot = 540.0 sqft

 

 

Example -2:

To Find the area of the plot for given below shape

 

Solution:

Area of plot can be found out by using thumb rule

Therefore: Dividing area in to parts

A1 = Area-1 = 50 x 42 = 2100 sqft

A2 = Area-2 = 0.5 x 8 x 12 = 28 sqft

A3 = Area-3 = 30 x 5 = 150 sqft

Total area of plot = 2278 sqft

 

 

Example - 3:

To Find area of plot for given below shape

Solution:

Area of plot can be found out by using thumb rule

Solution:

Area of plot can be found out by using thumb rule i.e. dividing area in to parts

A1 = Area-1 = 0.5 X 32 X 45 = 720 sqft

A2 = Area-2 = √S(S-A) (S-B) (S-C)

where,

S = (a + b + c )/2    

 

To find ‘c’

By pythogorous theorem

C = √(a² + b²)

C = √(32² + 45²)

C= 55.21

 

Therefore,

S = (85.50 + 80.50 + 55.21) / 2

S = 110.605

 

A2 = Area-2 = √ (110.605 (110.605-85.50) (110.605-80.50) (110.605-55.21))

 

A2 = Area-2 = 2151.90 sqft

Total area of plot = A1 + A2 = 2871.90 sqft

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