Two rectangles U and V, not drawn to scale, overlap at W. W is the shaded area which is
15 of Rectangle U and
19 of Rectangle V. If the length of Rectangle U is 11 cm and its breadth is 10 cm, what is the area of the unshaded part of rectangles U and V?
| |
U |
V |
Difference |
| Total areas |
5 u |
9 u |
4 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
4 u |
8 u |
4 u |
The overlapping shaded part of rectangles U and V is the same.
Area of Rectangle U
= 11 x 10
= 110 cm
2 Area of Rectangle U = 5 u
Area of Rectangle V = 9 u
5 u = 110
1 u = 110 ÷ 5 = 22
Area of unshaded parts of rectangles U and V
= 4 u + 8 u
= 12 u
= 12 x 22
= 264 cm
2 Answer(s): 264 cm
2 
