Two rectangles U and V, not drawn to scale, overlap at W. W is the shaded area which is
13 of Rectangle U and
19 of Rectangle V. If the length of Rectangle U is 13 m and its breadth is 6 m, what is the area of the unshaded part of rectangles U and V?
| |
U |
V |
Difference |
| Total areas |
3 u |
9 u |
6 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
2 u |
8 u |
6 u |
The overlapping shaded part of rectangles U and V is the same.
Area of Rectangle U
= 13 x 6
= 78 m
2 Area of Rectangle U = 3 u
Area of Rectangle V = 9 u
3 u = 78
1 u = 78 ÷ 3 = 26
Area of unshaded parts of rectangles U and V
= 2 u + 8 u
= 10 u
= 10 x 26
= 260 m
2 Answer(s): 260 m
2 
