Two rectangles L and M, not drawn to scale, overlap at N. N is the shaded area which is
13 of Rectangle L and
15 of Rectangle M. If the length of Rectangle L is 12 cm and its breadth is 6 cm, what is the area of the unshaded part of rectangles L and M?
| |
L |
M |
Difference |
| Total areas |
3 u |
5 u |
2 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
2 u |
4 u |
2 u |
The overlapping shaded part of rectangles L and M is the same.
Area of Rectangle L
= 12 x 6
= 72 cm
2 Area of Rectangle L = 3 u
Area of Rectangle M = 5 u
3 u = 72
1 u = 72 ÷ 3 = 24
Area of unshaded parts of rectangles L and M
= 2 u + 4 u
= 6 u
= 6 x 24
= 144 cm
2 Answer(s): 144 cm
2 
