Two rectangles U and V, not drawn to scale, overlap at W. W is the shaded area which is
13 of Rectangle U and
110 of Rectangle V. If the length of Rectangle U is 12 cm and its breadth is 5 cm, what is the area of the unshaded part of rectangles U and V?
| |
U |
V |
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 U and V is the same.
Area of Rectangle U
= 12 x 5
= 60 cm
2 Area of Rectangle U = 3 u
Area of Rectangle V = 10 u
3 u = 60
1 u = 60 ÷ 3 = 20
Area of unshaded parts of rectangles U and V
= 2 u + 9 u
= 11 u
= 11 x 20
= 220 cm
2 Answer(s): 220 cm
2 
