Area of Compound Shapes

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Area of simple 2D shapes
Find the area of these shapes
5 cm
3 cm
6 cm
6 cm
• ½ base X perpendicular height
• ½ X 6 X 3 = 9cm2
08/04/2015
2cm
• height X base
• 2 X 6 = 12cm2
Created by J. Mills-Dadson
1
Area of Compound Shapes

Work out the area of this compound shape in
two different ways.
6cm
Another way is …..
6 X 5 =30cm2 5cm
10cm
7cm
10 X 6 =60cm2
7 X 52 =35cm2
5 X 13 =65cm
5cm
13cm
2
2
Area of
= 60
Area
of the
the compound
compoundshape
shape
=+
3035+ =
6595cm
= 95cm
08/04/2015
Created by J. Mills-Dadson
2
Find the area of this Compound Shape
½ (6X5) =15cm2
8 X 6 =48cm2
Total = 48 + 15 = 63cm2
08/04/2015
Created by J. Mills-Dadson
3
3m
4m
3m
3 X 4 =12m2
3 X 2 = 6m2
2m
Total area = 12 + 6 = 18m2
08/04/2015
Created by J. Mills-Dadson
4
Find the area of this Compound Shape
10 cm
10 cm
20 cm
Rectangle = 20 X 10 =200 cm2
Triangle = ½ (4 X 20) = 40 cm2
Total = 200 – 40 = 160 cm2
08/04/2015
Created by J. Mills-Dadson
5
Functional skills
As a manager of a local football club, you need to re-turf the
playing field for an important international match.
It costs £1.50 to turf 1m2. Find the cost of re- turfing the pitch.
Area of the playing field
= 90 X 40 = 3600m2
40 m
90 m
08/04/2015
The cost of re-turfing
the pitch = 1.5 X 3600
= £ 5400
Created by J. Mills-Dadson
6
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