Two rectangles Z and A, not drawn to scale, overlap at B. B is the shaded area which is
12 of Rectangle Z and
17 of Rectangle A. If the length of Rectangle Z is 9 cm and its breadth is 6 cm, what is the area of the unshaded part of rectangles Z and A?
| |
Z |
A |
Difference |
| Total areas |
2 u |
7 u |
5 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
1 u |
6 u |
5 u |
The overlapping shaded part of rectangles Z and A is the same.
Area of Rectangle Z
= 9 x 6
= 54 cm
2 Area of Rectangle Z = 2 u
Area of Rectangle A = 7 u
2 u = 54
1 u = 54 ÷ 2 = 27
Area of unshaded parts of rectangles Z and A
= 1 u + 6 u
= 7 u
= 7 x 27
= 189 cm
2 Answer(s): 189 cm
2 
