1. Area of combined figures

2. Example 1: Find the Area of the following Combined figure.
This figure can be splitted in two ways
Solution 1:
Step 1: Split the combined shape into known figures
The combined shape is splitted as shown in the picture
The figure consists of 2 rectangles A and B
Step 2: Find area of know figure
Area of Rectangle A = l x b = 3 x 4 = 12 cm2
Area of Rectangle B = l x b = 6 x 3 = 18 cm2
Step 3:- Area of Combined figure = sum of all known figures
= Area of rectangle A + Area of Rectangle B =
= 30 cm2
Ans : Area of Combined figure = 30 cm2

3. Step 1: Split the combined shape into known figures
Solution 2:
Step 1: Split the combined shape into known figures
The combined shape is splitted as shown in the picture
The figure consists of rectangle and square
Step 2: Find area of know figure
Area of Rectangle F = l x b = 3 x 7 = 21 cm2
Area of square E = s x s = 3 x 3 = 9 cm2
Step 3:- Area of Combined figure = sum of all known figures
= Area of rectangle F + Area of Square E =
= 30 cm2
Ans : Area of Combined figure = 30 cm2

4. Example 2: Find the Area of the following Combined figure.
Solution:
Step 1: Split the combined shape into known figures
The combined shape is splitted as shown in the picture
The figure consists of rectangle and a triangle
Step 2: Find area of know figure
Area of Rectangle= l x b = 12 x 7 = 84 cm2
Area of Triangle =
Step 3:- Area of Combined figure = sum of all known figures
= Area of rectangle + Area of Triangle =
= 112 cm2
Ans : Area of Combined figure = 112 cm2 4
= 4 x 7 = 28 cm2

5. Example 3: Find the Area of the following Combined figure.
Solution:
Step 1: Split the combined shape into known figures
The combined shape is splitted as shown in the picture
This figure consists of square and triangle
Step 2: Find area of know figure
Area of square = s x s = 10 x 10 = 100 cm2
Area of triangle =
Step 3:- Area of Combined figure = sum of all known figures
= Area of square + Area of triangle =
= 140 cm2
Ans : Area of Combined figure = 140 cm2 4
= 10 x 4 = 40 cm2

6. Try these… 1. Find the area of the following Combined figure.