Two rectangles W and X, not drawn to scale, overlap at Y. Y is the shaded area which is
12 of Rectangle W and
15 of Rectangle X. If the length of Rectangle W is 8 cm and its breadth is 5 cm, what is the area of the unshaded part of rectangles W and X?
| |
W |
X |
Difference |
| Total areas |
2 u |
5 u |
3 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
1 u |
4 u |
3 u |
The overlapping shaded part of rectangles W and X is the same.
Area of Rectangle W
= 8 x 5
= 40 cm
2 Area of Rectangle W = 2 u
Area of Rectangle X = 5 u
2 u = 40
1 u = 40 ÷ 2 = 20
Area of unshaded parts of rectangles W and X
= 1 u + 4 u
= 5 u
= 5 x 20
= 100 cm
2 Answer(s): 100 cm
2 
