Two rectangles X and Y, not drawn to scale, overlap at Z. Z is the shaded area which is
13 of Rectangle X and
17 of Rectangle Y. If the length of Rectangle X is 12 cm and its breadth is 4 cm, what is the area of the unshaded part of rectangles X and Y?
| |
X |
Y |
Difference |
| Total areas |
3 u |
7 u |
4 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
2 u |
6 u |
4 u |
The overlapping shaded part of rectangles X and Y is the same.
Area of Rectangle X
= 12 x 4
= 48 cm
2 Area of Rectangle X = 3 u
Area of Rectangle Y = 7 u
3 u = 48
1 u = 48 ÷ 3 = 16
Area of unshaded parts of rectangles X and Y
= 2 u + 6 u
= 8 u
= 8 x 16
= 128 cm
2 Answer(s): 128 cm
2 
