Two rectangles Q and R, not drawn to scale, overlap at S. S is the shaded area which is
14 of Rectangle Q and
17 of Rectangle R. If the length of Rectangle Q is 6 cm and its breadth is 2 cm, what is the area of the unshaded part of rectangles Q and R?
| |
Q |
R |
Difference |
| Total areas |
4 u |
7 u |
3 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
3 u |
6 u |
3 u |
The overlapping shaded part of rectangles Q and R is the same.
Area of Rectangle Q
= 6 x 2
= 12 cm
2 Area of Rectangle Q = 4 u
Area of Rectangle R = 7 u
4 u = 12
1 u = 12 ÷ 4 = 3
Area of unshaded parts of rectangles Q and R
= 3 u + 6 u
= 9 u
= 9 x 3
= 27 cm
2 Answer(s): 27 cm
2 
