Two rectangles M and N, not drawn to scale, overlap at P. P is the shaded area which is
13 of Rectangle M and
19 of Rectangle N. If the length of Rectangle M is 10 cm and its breadth is 6 cm, what is the area of the unshaded part of rectangles M and N?
|
M |
N |
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 M and N is the same.
Area of Rectangle M
= 10 x 6
= 60 cm
2 Area of Rectangle M = 3 u
Area of Rectangle N = 9 u
3 u = 60
1 u = 60 ÷ 3 = 20
Area of unshaded parts of rectangles M and N
= 2 u + 8 u
= 10 u
= 10 x 20
= 200 cm
2 Answer(s): 200 cm
2