Two rectangles M and N, not drawn to scale, overlap at P. P is the shaded area which is
13 of Rectangle M and
110 of Rectangle N. If the length of Rectangle M is 15 m and its breadth is 9 m, what is the area of the unshaded part of rectangles M and N?
| |
M |
N |
Difference |
| Total areas |
3 u |
10 u |
7 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
2 u |
9 u |
7 u |
The overlapping shaded part of rectangles M and N is the same.
Area of Rectangle M
= 15 x 9
= 135 m
2 Area of Rectangle M = 3 u
Area of Rectangle N = 10 u
3 u = 135
1 u = 135 ÷ 3 = 45
Area of unshaded parts of rectangles M and N
= 2 u + 9 u
= 11 u
= 11 x 45
= 495 m
2 Answer(s): 495 m
2 
