The document explains the concepts of area and perimeter, emphasizing that area measures the space inside a shape while perimeter measures the distance around it. It includes examples and calculations for rectangles and compound shapes, providing formulas for finding area and perimeter. Additionally, it poses questions and tasks for calculating area and perimeter, suggesting applications in practical scenarios such as designing fields.

1. Area and perimeter are different
ways of measuring a shape.
The area is the amount of space
inside the shape.
The perimeter is the distance
around the edge.

2. This field is a rectangle.
It is 4 metres long and 3 metres wide. We can find out the
area of a rectangle
by multiplying the
length by the width.
4 x 3 = 12
4m
3m
So the area
of the field is
12 square metres.
We can write this as 12m2.
These measurements
are called the shape’s
dimensions.
This means
‘squared’.

3. Some shapes are
made by joining
two or more shapes
together. These are
called compound
(or composite)
shapes.
6m
4m
3m
5m
3m
9m
To find the perimeter, add the
lengths of ALL of the sides.
Make sure that you don’t miss any!
6 + 5 + 3 + 4 + 3 + 9 = 30m
To find the area, split the compound shape into smaller
shapes. Work out the area of each part and then find the total.
6 x 5 = 30m2
3 x 4
= 12m2
4m
3m
5m
6m
The area of this compound shape is:
30 + 12 = 42m2.

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1 2
3 4
What is the area of this shape? What is the area of this shape?
What is the area of this shape? What is the area of this shape?
5cm
5cm
6cm
6cm
8cm
5cm
8cm
3cm

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17 18
19 20
Draw a square with an area of 9cm2. Draw a square with an area of 25cm2.
Draw a rectangle with an area of 40cm2. Draw a rectangle with an area of 32cm2.
1cm 1cm
1cm 1cm

6. PerimeterPerimeterPerimeterPerimeter
PerimeterPerimeterPerimeterPerimeter
PerimeterPerimeter
PerimeterPerimeter
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The area is the amount of space inside a shape.
The perimeter is the distance
around the outside of the shape.

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1
Can you calculate the area and
perimeter of these rectangles?
1.
5 cm
7 cm
2.
6 cm
5 cm
3.
16 cm
9 cm
4.
10 cm
9 cm
5.
11 cm
9 cm
6.
9 cm
8 cm
7.
9 cm
12 cm
8.
8 cm
13 cm
9.
8 cm
9 cm
10.
10 cm
12 cm
11.
5 cm
5 cm
12.
15 cm
18 cm

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I need a new field for
my sheep. It must:
• be rectangular,
• have a perimeter
of 14 metres.
How many different
designs can you find?
What is the area of
each design?
1m

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Can you work out the area and
perimeter of each body part?
Body
Part
Area (cm2) Perimeter (cm)
Head
Body
Arm
Leg
This robot is called Robson.

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I own a vineyard. I measure the dimensions of my
fields so that I can fit in as many vines as possible.
I also work out the size of the perimeter fence.

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