The document explains how to calculate the perimeter and area of various shapes, including rectangles and composite shapes, using both counting squares and mathematical formulas. It provides examples of different shapes with given dimensions and encourages students to find their perimeters and areas through worksheets. Additionally, it covers methods for irregular shapes and offers hints for quicker calculation techniques.

1. RASHMI JAIN BAYATI

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
7cm
7cm
3cm
4cm 4cm
4cm 4cm
3cm 3cm
3cm
3cm
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
26cm2
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
22cm2
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
14cm2
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.
36cm
2
35cm2
20cm
2
25cm
2
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
40cm2
Area =
4 x 8
32cm2
Total area = 40 + 32 = 72 cm2

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 cm2
Perimeter = 36 cm

17. 6cm
6cm
11cm
2cm
4cm
5cm
Area =
2 x 5
10cm2
Area =
6 x 6
36cm2
Total area = 10 + 36 = 46 cm2
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

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24. 9cm
5cm
5cm
2cm
4cm
5cm
4cm
2cm
11cm
7cm
4cm
3cm 3cm
4cm
3cm
7cm
6cm
6cm
11cm
2cm
4cm
5cm
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25. 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:____________________

26. 4cm
4cm
4cm
6cm
8cm
2cm
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