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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.
What is the perimeter
of each of these
shapes? Your teacher
will give you copy of
the worksheet.
18cm
18cm
18cm
22cm
26cm
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 18cm
2
.
To find out how much shape is inside we can
count the squares.
What is the area of
each of these
shapes? Your teacher
will give you copy of
the worksheet.
12cm
2
26cm
2
26cm
2
To find the area of
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 60cm
2
.
What is the area of
each of these
shapes? Your teacher
will give you copy of
the worksheet.
24cm
2
25cm
2
22cm
2
35cm
2
Counting each
square can take a
long time. Does
anyone know a
quicker way?
The area of the shape is 48cm
2
.
The rectangle is made of 6 rows of 8 squares.
To work out the number of squares
we times 6 by 8.
What is the area of
each of these
shapes? Your teacher
will give you copy of
the worksheet.
20cm
2 18cm
2
14cm
2
30cm
2
22cm
2
We can work out the area of a rectangle
without the grid.
length
width
Area = length x width
Now work out the
area of these
rectangles.
They are not
drawn to scale.
36cm2
35cm
2
20cm
2
25cm2
4cm
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
4cm
Area =
4 x 10
40cm
2
Area =
4 x 8
32cm
2
Total area = 40 + 32 = 72 cm
2
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
45cm
2
Area =
4 x 5
20cm
2
Total area = 45 + 20 = 65 cm
2
Perimeter = 36 cm
6cm
6cm
11cm
2cm
4cm
5cm
Area =
2 x 5
10cm
2
Area =
6 x 6
36cm
2
Total area = 10 + 36 = 46 cm
2
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
4cm
Area =
3 x 7
21cm2
28cm
2
16cm
2
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
77cm
2
12cm
2
w
o
r
k
s
h
e
e
t
o
n
e
w
o
r
k
s
h
e
e
t
t
w
o
w
o
r
k
s
h
e
e
t
t
h
r
e
e
9cm
5cm
5cm
2cm
4cm
5cm
4cm
2cm
11cm
7cm
4cm
3cm 3cm
4cm
3cm
7cm
6cm
6cm
11cm
2cm
4cm
5cm
w
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f
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u
r
Review
What is the area of the moon?
_____________________cm
2
What is the area of the rectangle?
_____________________cm
2
What is the perimeter of the rectangle?
_____________________cm
Name:____________________
4cm
4cm
4cm
6cm
8cm
2cm
What is the area of the compound shape?
_____________________cm
2
What is the perimeter of the compound shape?
_____________________cm
What is the area of the house?
_____________________cm
2

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Area and perimeter

  • 1.
  • 2. 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.
  • 3. What is the perimeter of each of these shapes? Your teacher will give you copy of the worksheet. 18cm 18cm 18cm 22cm 26cm
  • 4. 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
  • 5. The area of a shape is the amount of space inside it. The area of the shape is 18cm 2 . To find out how much shape is inside we can count the squares.
  • 6. What is the area of each of these shapes? Your teacher will give you copy of the worksheet. 12cm 2 26cm 2 26cm 2
  • 7. To find the area of an irregular shape you first count the full squares inside it. This is an irregular shape. This means that the sides aren’t straight.
  • 8. You then count all the other squares which have more than half the area covered. The area of the shape is 60cm 2 .
  • 9. What is the area of each of these shapes? Your teacher will give you copy of the worksheet. 24cm 2 25cm 2 22cm 2 35cm 2
  • 10. Counting each square can take a long time. Does anyone know a quicker way? The area of the shape is 48cm 2 . The rectangle is made of 6 rows of 8 squares. To work out the number of squares we times 6 by 8.
  • 11. What is the area of each of these shapes? Your teacher will give you copy of the worksheet. 20cm 2 18cm 2 14cm 2 30cm 2 22cm 2
  • 12. We can work out the area of a rectangle without the grid. length width Area = length x width
  • 13. Now work out the area of these rectangles. They are not drawn to scale. 36cm2 35cm 2 20cm 2 25cm2 4cm 9cm 7cm 5cm 5cm 4cm 2cm 12.5cm
  • 14. 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 4cm Area = 4 x 10 40cm 2 Area = 4 x 8 32cm 2 Total area = 40 + 32 = 72 cm 2
  • 15. 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
  • 16. 9cm 5cm 5cm 2cm 4cm 5cm 4cm 2cm Area = 5 x 9 45cm 2 Area = 4 x 5 20cm 2 Total area = 45 + 20 = 65 cm 2 Perimeter = 36 cm
  • 17. 6cm 6cm 11cm 2cm 4cm 5cm Area = 2 x 5 10cm 2 Area = 6 x 6 36cm 2 Total area = 10 + 36 = 46 cm 2 Perimeter = 34 cm
  • 18. 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 4cm Area = 3 x 7 21cm2 28cm 2 16cm 2 There is another way of doing this question.
  • 19. 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 77cm 2 12cm 2
  • 20.
  • 25. Review What is the area of the moon? _____________________cm 2 What is the area of the rectangle? _____________________cm 2 What is the perimeter of the rectangle? _____________________cm Name:____________________
  • 26. 4cm 4cm 4cm 6cm 8cm 2cm What is the area of the compound shape? _____________________cm 2 What is the perimeter of the compound shape? _____________________cm What is the area of the house? _____________________cm 2