Page 174 - MAT KS3 Y8 Cambridge CheckPoint

17.4 The areas of compound shapes

2 For each of these compound shapes, work out:
i the missing lengths shown by
ii the area of the shape.
a 8 cm b 14 cm

3 cm A
7 cm A
B 4 cm
3 cm 3 cm 10 cm
11 cm B

c 5 cm d
6 cm
9 cm
15 cm
11 cm A C 8 cm
5 cm B
18 cm 12 cm

3 Work out the areas of these compound shapes.
a 7 cm b 8 cm

2 cm
5 cm 5 cm

4 cm 14 cm
c 9 cm d

4 cm 10 cm

3 cm 5 cm

12 cm
4 Work out the area of each shaded region.
a b c
3 cm
5 cm 9 cm 4 cm 7 cm
2 cm
6 cm
5 cm
9 cm
8 cm 12 cm
5 Razi draws these two shapes.
Read what Razi says.

The areas I have shaded in my drawings

work out to be the same size!

11 cm

8 cm 4 cm 8 cm
6 cm
12 cm
17 cm

Is Razi correct? Show clearly how your worked out your answer.

172
172 17 Area, perimeter and volume