Chapter 9 Measurement;: Length And Area Worksheet Page 23

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191
MEASUREMENT: LENGTH AND AREA (Chapter 9)
DEMO
We can demonstrate this result using a second trapezium of exactly the same shape.
We place the trapezia together to form a parallelogram.
1
Area =
of area of parallelogram
2
a
b
1
=
£ base £ height
2
h
1
=
£ (a + b) £ h
2
b
a
Perform this demonstration for yourself using paper and scissors.
Example 15
Self Tutor
µ
a + b
Area =
£ h
8 cm
Find the area of
2
the trapezium:
µ
6 cm
8 + 10
2
)
A =
£ 6 cm
2
10 cm
2
)
A = 9 £ 6 cm
2
)
A = 54 cm
EXERCISE 9E.3
1
Find the areas of the following parallelograms:
a
b
c
6 m
14 m
5 cm
4 cm
5 cm
16 cm
7 m
2
Find the areas of the following kites:
a
b
c
4 cm
7 cm
10 m
17 m
12 cm
13 cm

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