Two rectangles V and W, not drawn to scale, overlap at X. X is the shaded area which is
14 of Rectangle V and
19 of Rectangle W. If the length of Rectangle V is 12 cm and its breadth is 10 cm, what is the area of the unshaded part of rectangles V and W?
| |
V |
W |
Difference |
| Total areas |
4 u |
9 u |
5 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
3 u |
8 u |
5 u |
The overlapping shaded part of rectangles V and W is the same.
Area of Rectangle V
= 12 x 10
= 120 cm
2 Area of Rectangle V = 4 u
Area of Rectangle W = 9 u
4 u = 120
1 u = 120 ÷ 4 = 30
Area of unshaded parts of rectangles V and W
= 3 u + 8 u
= 11 u
= 11 x 30
= 330 cm
2 Answer(s): 330 cm
2 
