### Mathematics Class VI

Knowing Our Numbers
Whole Numbers
Playing With Numbers
Basic Geometrical Ideas
Fractions
Integers
Decimals
Data Handling
Mensuration
Algebra
Ratio and Proportion
Practical Geometry
Symmetry

# Area

Area

• Area is the total amount of surface enclosed by a closed figure.

Area of Square

• Area of a square = Side × Side = Side2 = , where a is the length of each side.

Example

Calculate the area of a square of side 13 cm.

Solution

Area of a square = side × side

= 13 × 13

= 169 .

Area of Rectangle

•  Area = length (l) × breadth (b)

Example

Find the area of a rectangle whose length and breadth are 20 cm and 12 cm respectively.

Solution

Length of the rectangle = 20 cm

Breadth of the rectangle = 12 cm

Area of the rectangle = length × breadth

= 20 cm × 12 cm

= 240 sq. cm.

Area of a triangle

Area of triangle = × base × height = × b × h

Areas of different types of triangles

Consider an acute and an obtuse triangle.
Area of each triangle = × base × height = × b × h

Visualization of Area

• In the given graph, if the area of each small square is 1 cm2, then
Area of rectangle Area of square Area of irregular shapes

The area of an irregular figure can be calculated by:

Step 1: Divide the irregular shape into regular shapes that you can recognize (eg. triangles, rectangles, circles, and squares)
Step 2: Find the area of these individual shapes and add them. The sum will be the area of the irregular figure.

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