Area and Perimeter
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Area and Perimeter. The distance around the outside of a shape is called the perimeter. First we need to find he length of each side by counting the squares. 8 cm. 6 cm. 6 cm. 8 cm. The perimeter of the shape is 8 + 6 + 8 + 6 = 28cm. 18cm. 18cm.

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The distance around the outside of a shape is called the perimeter.

First we need to find he length of each side by

counting the squares.

8 cm

6 cm

6 cm

8 cm

The perimeter of the shape is 8 + 6 + 8 + 6 = 28cm.


18cm perimeter.

18cm

What is the perimeter of each of these shapes? Your teacher will give you copy of the worksheet.

22cm

18cm

26cm


4cm perimeter.

4cm

5cm

3cm

3cm

3cm

3cm

3cm

7cm

7cm

3cm

3cm

3cm

3cm

4cm

4cm

3cm

3cm

Now find the perimeter of these shapes. They are not drawn to scale.

Perimeter = 18cm

Perimeter = 22cm

Perimeter = 28cm


The area of a shape is the amount of space inside it. perimeter.

To find out how much shape is inside we can

count the squares.

The area of the shape is 18cm2.


12cm perimeter.2

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

26cm2

26cm2


To find the area of perimeter.

an irregular shape you first count the full squares inside it.

This is an irregular shape. This means that the sides aren’t straight.


You then count all the other squares which have more than half the area covered.

The area of the shape is 60cm2.


24cm half the area covered.2

25cm2

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

35cm2

22cm2


Counting each square can take a long time. Does anyone know a quicker way?

The rectangle is made of 6 rows of 8 squares.

To work out the number of squares

we times 6 by 8.

The area of the shape is 48cm2.


18cm a quicker way?2

20cm2

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

30cm2

14cm2

22cm2


We can work out the area of a rectangle a quicker way?

without the grid.

length

width

Area = length x width


Now work out the area of these rectangles. a quicker way?

They are not drawn to scale.

7cm

5cm

35cm2

4cm

5cm

20cm2

9cm

36cm2

12.5cm

4cm

25cm2

2cm


4cm a quicker way?

Total area = 40 + 32 = 72 cm2

2cm

To find the area of this shape we have to split it up into two rectangles.

4cm

Area =

4 x 10

10cm

Area =

4 x 8

8cm

40cm2

32cm2

8cm

A shape that is made from other shapes is known as a composite shape.


2cm a quicker way?

5cm

11cm

4cm

6cm

6cm

Find the area and perimeter of each of these shapes? Your teacher will give you copy of the worksheet.

5cm

2cm

4cm

9cm

5cm

4cm

2cm

5cm

4cm

3cm

3cm

3cm

4cm

7cm

7cm

11cm


5cm a quicker way?

2cm

Area =

4 x 5

Area =

5 x 9

4cm

9cm

5cm

20cm2

45cm2

4cm

2cm

5cm

Total area = 45 + 20 = 65 cm2

Perimeter = 36 cm


2cm a quicker way?

5cm

11cm

4cm

6cm

6cm

Total area = 10 + 36 = 46 cm2

Perimeter = 34 cm

Area =

2 x 5

Area =

6 x 6

10cm2

36cm2


Total area = 28 + 16 + 21 = 65 cm a quicker way?2

Perimeter = 42 cm

There is another way of doing this question.

Area =

4 x 7

Area =

4 x 4

28cm2

16cm2

4cm

3cm

3cm

3cm

Area =

3 x 7

4cm

7cm

21cm2

7cm

11cm


Total area = 77 – 12 = 65 cm a quicker way?2

Perimeter = 42 cm

Area =

3 x 4

12cm2

4cm

3cm

3cm

3cm

4cm

7cm

7cm

Area =

7 x 11

77cm2

11cm


Well Done a quicker way?


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7cm

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4cm

11cm


Name:____________________ a quicker way?

Review

What is the area of the moon?

_____________________cm2

What is the area of the rectangle?

_____________________cm2

What is the perimeter of the rectangle?

_____________________cm


What is the area of the house? a quicker way?

_____________________cm2

4cm

What is the area of the compound shape?

_____________________cm2

4cm

2cm

8cm

What is the perimeter of the compound shape?

_____________________cm

4cm

6cm


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