Chapter 9 Measurement;: Length And Area Worksheet Page 15
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32183
MEASUREMENT: LENGTH AND AREA (Chapter 9)
2
1 square kilometre (km
) is the area enclosed by a square of side length 1 km.
2
The area of a country or continent would be measured in km
.
EXERCISE 9D.1
1
Determine the shaded area in the following, giving your answers in square units:
a
b
c
d
2
State the units of measurement that would be most appropriate for measuring:
a
the size of the floor of a room
b
the area of a sheet of paper
c
the area of a country
d
the size of a dot on a die.
CONVERSION OF AREA UNITS
We can use the length unit conversions to help us convert from one area unit to another.
We have already seen that a square with
1 cm2 1 cm
2
sides of length 1 cm has area 1 cm
:
10 mm
We could also measure the sides of this square in millimetres:
10 mm
2
Each of the small squares has an area of 1 mm
.
There are 10 £ 10 = 100 square millimetres in this square,
2
2
so 1 cm
= 100 mm
.
Likewise,
2
2
1 m
= 1 m £ 1 m
1 ha = 100 m £ 100 m
1 km
= 1 km £ 1 km
2
= 100 cm £ 100 cm
= 10 000 m
= 1000 m £ 1000 m
2
2
= 10 000 cm
= 1 000 000 m
2
= 100 £ 10 000 m
= 100 ha
2
2
2
1 cm
= 100 mm
1 ha = 10 000 m
2
2
2
1 m
= 10 000 cm
1 km
= 100 ha
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