Area and perimeter

Post on 18-Nov-2014

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TOBY’S LESSON ON......

The distance around the

outside of a shape is called the perimeter.

8 cm

6 cm

8 cm

6 cm

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

First we need to find he length of each side by counting the squares.

18cm18cm

18cm

22cm

26cm

What is the perimeter of each of these

shapes? Your teacher will give you copy of

the worksheet.

Now find the perimeter of these shapes. They are

not drawn to scale.

3cm

3cm

3cm

3cm

3cm

3cm

5cm

7cm7cm

3cm

4cm 4cm

4cm 4cm

3cm 3cm

3cm3cm

Perimeter = 18cm Perimeter = 22cm Perimeter = 28cm

The area of a shape is the

amount of space inside it.

The area of the shape is 18cm2.

To find out how much shape is inside we cancount the squares.

12cm2

26cm2

26cm2

What is the area of each of these

shapes? Your teacher will give you copy of

the worksheet.

This is an irregular shape. This

means that the sides aren’t

straight. To find the area ofan irregular shape you first count the full squares inside

it.

The area of the shape is 60cm2.

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

covered.

24cm225cm2

22cm2

35cm2

What is the area of each of these

shapes? Your teacher will give you copy of

the worksheet.

The area of the shape is 48cm2.

The rectangle is made of 6 rows of 8 squares.

To work out the number of squareswe times 6 by 8.

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

What is the area of each of these

shapes? Your teacher will give you copy of

the worksheet.

20cm2 18cm2

14cm2

30cm2

22cm2

We can work out the area of a rectanglewithout the grid.

length

wid

thArea = length x width

Now work out the area of these rectangles.

They are not drawn to scale.

36cm235cm2

20cm2

25cm24cm

9cm

7cm

5cm

5cm

4cm

2cm

12.5cm

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

shape.

To find the area of this shape we

have to split it up into two

rectangles.

10cm

8cm

8cm

2cm

4cm

4cmArea =4 x 10

40cm2

Area =4 x 8

32cm2

Total area = 40 + 32 = 72 cm2

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

copy of the worksheet.9cm

5cm

5cm

2cm

4cm

5cm

4cm

2cm

11cm

7cm

4cm

3cm 3cm

3cm

7cm

6cm

6cm

11cm

2cm

4cm

5cm

4cm

9cm

5cm

5cm

2cm

4cm

5cm

4cm

2cm

Area =5 x 9

45cm2

Area =4 x 5

20cm2

Total area = 45 + 20 = 65 cm2

Perimeter = 36 cm

6cm

6cm

11cm

2cm

4cm

5cmArea =2 x 5

10cm2 Area =6 x 6

36cm2

Total area = 10 + 36 = 46 cm2

Perimeter = 34 cm

11cm

7cm

4cm

3cm 3cm

3cm

7cm

Total area = 28 + 16 + 21 = 65 cm2

Perimeter = 42 cm

Area =4 x 7

Area =4 x 4

4cmArea =3 x 7

21cm2

28cm2 16cm2

There is another way of

doing this question.

11cm

7cm

4cm

3cm 3cm

3cm

7cm

Total area = 77 – 12 = 65 cm2

Perimeter = 42 cm

Area =7 x 11

Area =3 x 4

4cm

77cm2

12cm2

Well done!

I am now off to watch T.V

Keep practicing. There are some worksheets below!Love Toby!

worksheet

one

worksheet

two

worksheet

three

9cm

5cm

5cm

2cm

4cm

5cm

4cm

2cm

11cm

7cm

4cm

3cm 3cm

4cm

3cm

7cm

6cm

6cm

11cm

2cm

4cm

5cm

worksheet

four

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

Name:____________________

4cm

4cm

4cm

6cm

8cm2cm

What is the area of the compound shape?

_____________________cm2

What is the perimeter of the compound shape?

_____________________cm

What is the area of the house?

_____________________cm2