Two rectangles L and M, not drawn to scale, overlap at N. N is the shaded area which is
13 of Rectangle L and
19 of Rectangle M. If the length of Rectangle L is 9 m and its breadth is 8 m, what is the area of the unshaded part of rectangles L and M?
| |
L |
M |
Difference |
| Total areas |
3 u |
9 u |
6 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
2 u |
8 u |
6 u |
The overlapping shaded part of rectangles L and M is the same.
Area of Rectangle L
= 9 x 8
= 72 m
2 Area of Rectangle L = 3 u
Area of Rectangle M = 9 u
3 u = 72
1 u = 72 ÷ 3 = 24
Area of unshaded parts of rectangles L and M
= 2 u + 8 u
= 10 u
= 10 x 24
= 240 m
2 Answer(s): 240 m
2 
