Two rectangles S and T, not drawn to scale, overlap at U. U is the shaded area which is
15 of Rectangle S and
17 of Rectangle T. If the length of Rectangle S is 10 cm and its breadth is 9 cm, what is the area of the unshaded part of rectangles S and T?
| |
S |
T |
Difference |
| Total areas |
5 u |
7 u |
2 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
4 u |
6 u |
2 u |
The overlapping shaded part of rectangles S and T is the same.
Area of Rectangle S
= 10 x 9
= 90 cm
2 Area of Rectangle S = 5 u
Area of Rectangle T = 7 u
5 u = 90
1 u = 90 ÷ 5 = 18
Area of unshaded parts of rectangles S and T
= 4 u + 6 u
= 10 u
= 10 x 18
= 180 cm
2 Answer(s): 180 cm
2 
