Two rectangles U and V, not drawn to scale, overlap at W. W is the shaded area which is
16 of Rectangle U and
110 of Rectangle V. If the length of Rectangle U is 12 m and its breadth is 3 m, what is the area of the unshaded part of rectangles U and V?
| |
U |
V |
Difference |
| Total areas |
6 u |
10 u |
4 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
5 u |
9 u |
4 u |
The overlapping shaded part of rectangles U and V is the same.
Area of Rectangle U
= 12 x 3
= 36 m
2 Area of Rectangle U = 6 u
Area of Rectangle V = 10 u
6 u = 36
1 u = 36 ÷ 6 = 6
Area of unshaded parts of rectangles U and V
= 5 u + 9 u
= 14 u
= 14 x 6
= 84 m
2 Answer(s): 84 m
2 
