Area of Irregular Shapes
The area of irregular shapes is the number of squares that can be enclosed within an irregular shape. An irregular shape can be of any size and length. There are a lot of examples of irregular shapes around us. Any shape formed by the combination of polygons is an irregular shape. Now that we have got an insight into irregular shapes, let's dig in more with examples to understand irregular shapes, and let's use that to find the area of irregular shapes.
1.  What is Area of Irregular Shapes? 
2.  How to Find the Area of Irregular Shapes? 
3.  How to Find Formula for Area of Irregular Shapes? 
4.  FAQs on Area of Irregular Shapes 
What is Area of Irregular Shapes?
The area of irregular shapes is the amount of region covered by an irregular shape. Irregular shapes are basically formed by a group of polygons and thus have a varying number of sides each of varying lengths. An irregular shape can therefore be decomposed into multiple regular shapes. From our everyday life, there can be different examples of irregular shapes:
 Observe the staircases of any building. The surface area of the staircase is an irregular shape composed of polygons like rectangles and squares.
 A playground in school with a running track is an irregular shape and is also a combination of regular shapes.
 Leaf plucked of a plant is an irregular shape that can be divided into many regular shapes.
The unit of area of irregular shape is given in terms of m^{2}, cm^{2}, in^{2}, or ft^{2}.
How to Find Area of Irregular Shapes?
In order to find the area of irregular shapes, we must know to decompose an irregular shape into regular shapes. Here are a few irregular shapes to list a few:
 The regular polygons A, B, C, D, E, F, and G form the irregular shape in the figure given below:
 The regular polygons P, Q, R, S, T, and U come together to form an irregular shape. This is shown in the figure given below:
 An irregular shape is divided into small squares of the unit square area. A figure depicting this is given below:
How to Find Formula for Area of Irregular Shapes?
Method 1: To find the area of irregular shapes, we can divide the irregular shape into regular polygons and then find the area of each individual polygon.
Therefore, the area of the given irregular shape = Area of all the regular polygons that the irregular shape is divided into.
⇒ Area of the given irregular shape = area of A + area of B + area of C + area of D + area of E + area of F + area of G
Method 2: In some cases, the irregular shape is divided into small squares of the unit square area. The total number of unit squares falling within the shape determines the total area. Count the square as “1” if the shaded region covers more than half while calculating the area for a more accurate estimate. So in this case we get an approximate area of irregular shape. We can use this method for shapes with curves apart from perfect circles or semicircles and irregular quadrilaterals.
Therefore, the area of the given irregular shape = Sum of all the unit squares falling under the irregular shape.
Solved Examples on Area of Irregular Shapes

Example 1:
Find the area of the given irregular shape.
Solution:
To find the area of the irregular shape, we will add up the area of the shapes that come together to form this irregular shape:
Let's find the area of each shape first.
 Area of rectangle 'P' = Length × Breadth = 6 × 8 = 48 square units
 Area of semicircle 'Q' = πr^{2}/2 = 3.14 × 5^{2}/2 (taking π = 3.14 and using the fact that the diameter of the semicircle would be 10)
⇒ Area of semicircle 'Q' = 3.14 × 5^{2}/2 = 39.25 square units  Area of the triangle 'R' = 1/2 × Base × Height
⇒ Area of the triangle 'R' = 1/2 × 8 × 6 = 24 square units  Area of rectangle 'S' = Length × Breadth = 6 × 8 = 48 square units
Now let's find the area of the irregular shape using the area of the regular shapes:
Area of the given irregular shape = Area of the rectangle 'P' + Area of the semicircle 'Q' + Area of the triangle 'R' + Area of the rectangle 'S'.
⇒ Area of the given irregular shape = 48 + 39.25 + 24 + 48 = 159.25 square units.Therefore, the area of the given irregular shape is 159.25 square units.

Example 2: Find the area of a shape formed by joining three rectangles A, B, and C. The length and breadth of rectangle A are 2 units and 10 units respectively, the length and breadth of rectangle B are 3 units and 2 units respectively, and the length and breadth of rectangle C are 5 units and 2 units respectively.
Solution: The shape is formed by three rectangles, A, B, and C. Therefore, the area of the given shape is given as:
Area of the shape = Area of rectangle A + Area of rectangle B + Area of rectangle C⇒ Area of the shape = 2 × 10 + 3 × 2 + 5 × 2
⇒ Area of the shape = 20 + 6 + 10 = 36 units^{2}.
Thus, the area of the shape is 36 units^{2}.
FAQs on Area of Irregular Shapes
What is the Area of Irregular Shapes?
The area of irregular shapes is defined as the amount of area that is covered by an irregular shape. Irregular shapes are basically formed by a group of polygons and thus have a varying number of sides each of varying lengths. The unit of area of irregular shape is given in terms of square units, where units can be meters, centimeters, inches, or feet.
How is Area of Irregular Shapes Different From Regular Shapes?
A regular shape has equal sides and angles whereas an irregular shape is of any size and length. Thus, the area of regular shapes can be determined by directly applying suitable formulas for it whereas the area of an irregular shape can be found by decomposing an irregular shape into several regular shapes.
Is There a Formula to Find Area of Irregular Shapes?
There is no specific formula to find the area of an irregular shape since an irregular shape is of any length and can have any number of sides. An irregular shape is made up of a combination of a few regular polygons thus, the formula is determined by decomposing an irregular shape into regular shapes.
What Is the Method to Find the Area of Irregular Shapes?
We can find the area of irregular shapes using the below steps:
 Step 1: Decompose an irregular shape into regular polygons.
 Step 2: Find the sum total of all the areas of the regular polygons to find the area of the irregular shape.
How Can We Find the Area of Irregular Shapes Using the Unit Square Method?
We can find the area of irregular shapes using the unit square method using the following ways:
 Step 1: Divide the given irregular shape into small squares of the unit square area.
 Step 2: The total number of unit squares falling within the shape determines the total area.
 Step 3: Count the square as “1” if the shaded region covers more than half while calculating the area for a more accurate estimate.
Is the Unit Square Method an Accurate Way to Find the Area of Irregular Shapes?
While measuring the area of an irregular shape if we use the unit square method, we get the area as an accurate estimate. So in this case we get an approximate area of irregular shape instead of an accurate value of the area.