Two rectangles V and W, not drawn to scale, overlap at X. X is the shaded area which is
13 of Rectangle V and
16 of Rectangle W. If the length of Rectangle V is 12 cm and its breadth is 4 cm, what is the area of the unshaded part of rectangles V and W?
| |
V |
W |
Difference |
| Total areas |
3 u |
6 u |
3 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
2 u |
5 u |
3 u |
The overlapping shaded part of rectangles V and W is the same.
Area of Rectangle V
= 12 x 4
= 48 cm
2 Area of Rectangle V = 3 u
Area of Rectangle W = 6 u
3 u = 48
1 u = 48 ÷ 3 = 16
Area of unshaded parts of rectangles V and W
= 2 u + 5 u
= 7 u
= 7 x 16
= 112 cm
2 Answer(s): 112 cm
2 
