Two rectangles V and W, not drawn to scale, overlap at X. X is the shaded area which is
15 of Rectangle V and
110 of Rectangle W. If the length of Rectangle V is 15 cm and its breadth is 8 cm, what is the area of the unshaded part of rectangles V and W?
| |
V |
W |
Difference |
| Total areas |
5 u |
10 u |
5 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
4 u |
9 u |
5 u |
The overlapping shaded part of rectangles V and W is the same.
Area of Rectangle V
= 15 x 8
= 120 cm
2 Area of Rectangle V = 5 u
Area of Rectangle W = 10 u
5 u = 120
1 u = 120 ÷ 5 = 24
Area of unshaded parts of rectangles V and W
= 4 u + 9 u
= 13 u
= 13 x 24
= 312 cm
2 Answer(s): 312 cm
2 
