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year 8 maths

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3C

Area

133

c i How many m 2 in 1 km 2 ?

ii How many m 2 in 5 km 2 ?

iii How many km 2 in 2 500 000 m 2 ?

1 km = 1000 m

1 km 2

1 km = 1000 m

d i How many m 2 in 1 ha ?

ii How many m 2 in 3 ha ?

iii How many ha in 75 000 m 2 ?

100 m

1 ha

100 m

2 Which length measurements would be used for the base and the

height (in that order) to find the area of these triangles?

a 7 m

b

10 cm

6 cm

3 m

5 m

8 cm

3 How many square metres are in 1 hectare?

c

2.4 mm 2 mm

1.7 mm

Example 6

4 Convert these area measurements to the units shown in the brackets.

a 2 cm 2 (mm 2 ) b 7 m 2 (cm 2 ) c 0.5 km 2 (m 2 )

d 3 ha (m 2 ) e 0.34 cm 2 (mm 2 ) f 700 cm 2 (m 2 )

g 3090 mm 2 (cm 2 ) h 0.004 km 2 (m 2 ) i 2000 cm 2 (m 2 )

j 450000 m 2 (km 2 ) k 4000 m 2 (ha) l 3210 mm 2 (cm 2 )

m 320000 m 2 (ha) n 0.0051 m 2 (cm 2 ) o 0.043 cm 2 (mm 2 )

p 4802 cm 2 (m 2 ) q 19040 m 2 (ha) r 2933 m 2 (ha)

s 0.0049 ha (m 2 ) t 0.77 ha (m 2 ) u 2.4 ha (m 2 )

Example 7

5 Find the areas of these squares, rectangles and triangles.

a

b

7 m 3 m c

3 cm

13 cm

6 cm

d

e

f

12 mm

4 cm

9 cm

3 m

11 m

g

h

3 m i 3 km

7 m

18 m

2 m

4 km

10 km

Cambridge Maths NSW

Stage 4 Year 8 Second edition

ISBN 978-1-108-46627-1 © Palmer et al. 2018

Cambridge University Press

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