Two rectangles T and U, not drawn to scale, overlap at V. V is the shaded area which is
13 of Rectangle T and
15 of Rectangle U. If the length of Rectangle T is 8 m and its breadth is 3 m, what is the area of the unshaded part of rectangles T and U?
| |
T |
U |
Difference |
| Total areas |
3 u |
5 u |
2 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
2 u |
4 u |
2 u |
The overlapping shaded part of rectangles T and U is the same.
Area of Rectangle T
= 8 x 3
= 24 m
2 Area of Rectangle T = 3 u
Area of Rectangle U = 5 u
3 u = 24
1 u = 24 ÷ 3 = 8
Area of unshaded parts of rectangles T and U
= 2 u + 4 u
= 6 u
= 6 x 8
= 48 m
2 Answer(s): 48 m
2 
