Shape and space: areas

Shape and space: area & perimeter
BTEOTSSBAT:
Find the area and perimeter of simple shapes

Key words
Dimension
Area
Perimeter
Height
Length
Width
Circumference
Parallelogram
Trapezium

Dimensions

Dimensions
1 D

Dimensions
1 D
length

Dimensions
mm
cm
m
km
1 D
length

Dimensions
mm
cm
m
km
1 D
length
2 D

Dimensions
mm
cm
m
km
1 D
length
2 D
area

Dimensions
mm
cm
m
km
1 D
length
2 D
mm²
cm²
m²
km²
area

Dimensions
mm
cm
m
km
1 D
length
2 D
mm²
cm²
m²
km²
area
3 D

Dimensions
mm
cm
m
km
1 D
length
2 D
mm²
cm²
m²
km²
area
3 D
volume

Dimensions
mm
cm
m
km
1 D
length
2 D
mm²
cm²
m²
km²
area
3 D
mm³
cm³
m³
km³
volume

Perimeter
The perimeter of a shape is the distance around its edges.

Perimeter
Example
Find the perimeter of this room

Perimeter
Example
To find the perimeter we need to know the lengths of some of the missing sides. The side joining shapes (a) and (b) is 7 in total, but 3 is missing from it so it has a length of 7 -3 = 4.
The total perimeter will be:
shape (a) 7 + 7 + 7 + 4 = 25
shape (b) 3 + 3 +3 = 9
total = 25 + 9 = 34 units.
Find the perimeter of this room

Now try these 1
Find the perimeter of the following shapes:
(a) (b)
4 cm
6 cm
4 cm
4 cm
4 cm
2 cm

(c) (d)
All dimensions in metres

The perimeter of a circle
The perimeter of a circle is called the circumference.

The circumference = π  diameter or 2  π  radius

Cherry pies delicious

Find the circumference of these circles
2 cm 10 cm
1 m

Now try these 2
1. Find the area of these triangles:
5.2 cm
5 cm
4 cm
6.1 cm
4 cm
3 cm
5 cm

Parallelogram
Width
Height

Parallelogram
Width
Height
Area = height x width!

Trapezium
a
Height
b

Trapezium
a
Height
½ (a + b)
b

Trapezium
a
Height
½ (a + b)
Area = ½ (a + b)x h
b

Area = πr²

Cherry pies delicious
Apple pies are 2
Area = πr²

Area = πr²

2. Find the area of the following circles:
r = 4 cm r = 2.5 cm
r = 3 cm
D = 12 cm
D = 24 cm

3. Find the area of the following shapes:
5 cm 12 cm
4 cm
4 cm
10 cm
4 cm
10 cm
4 cm
3 cm
3 cm
8 cm

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Shape and space: areas

by Steve Bishop on Nov 20, 2009

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