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Area.

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Presentation on theme: "Area."— Presentation transcript:

1 Area

2 Area measures the surface of something

3 To find out how much shape is inside we can count the squares.
The area of a shape is the amount of space inside it. The area of the shape is 18cm2.

4 12cm2 What is the area of each of these shapes? Your teacher will give you copy of the worksheet. 26cm2 26cm2

5 Area of Rectangle Using formula
D C 2 A B 4 The area of a rectangle is determined by multiplying length x width. 2 x 4 = ______

6 Now the area of the rectangle = Total number of squares.
= Number of squares in 2 rows. = 4 + 4 = 4 x 2 = (length x breadth) sq. units Usually we denote length as ‘l’, breadth as ‘b’ Area of a rectangle = (l x b) sq. units

7 Example 1: Find the area of a rectangle whose length is 4 cm and breadth 8 cm Solution: Area of a rectangle = length x breadth = 4 cm x 8 cm = 32 sq. cm 4 8

8 Example 2: Find the area of a rectangle whose length is 5 cm and breadth 12 cm Solution: Area of a rectangle = length x breadth = 5 cm x 12 cm = 60 sq. cm

9 Find the area of these rectangles.
1 6 2 2 3 5 4 3

10 You find the area of a square by multiplying the side by itself.
3

11 AREA OF SQUARES USING FORMULA:
We know that in a rectangle if the length is equal to the breadth, it is a square. They are called the sides of a square. Length = breadth = side of the square Area of a square = length x breadth = (side x side) sq.units Area of the square = (s x s) sq. units

12 Example 1: Find the area of a square of side 7 cm. Solution: Area of a square = side x side = 7cm x 7cm = 49 sq. cm. 7

13 Example 2: Find the area of a square of side 12 cm. Solution: Area of a square = side x side = 12cm x 12cm = 144 sq. cm.

14 Find the area of these squares.
25 5 12 16 8

15 Area of a Triangle 3 4 Finding the area of a triangle is different.
Area of a triangle = ½ (base x height) ***(Base x height) is the same as (length x width).***

16 Area of a Triangle Sometimes it makes it easier to remember if you can imagine it like this: A triangle is half of a rectangle or square. This is because the base (4) x the height (3) would be the same as the length x the width of a rectangle. 3 4

17 Example 1: Find the area of Triangle whose height is 8cm and base is 5cm. Solution: Area = ½ x (base x height) = ½ x (5 x 8) = ½ x 40 = 40/2 = 20 sq.cm 8 5

18 Example 1: Find the area of Triangle whose height is 12cm and base is 8cm. Solution: Area = ½ x (base x height) = ½ x (8 x 12) = ½ x 96 = 96/2 = 48 sq.cm

19 Find the area of these triangles.
3 4 7 8 2 5 3 6


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