Two rectangles X and Y, not drawn to scale, overlap at Z. Z is the shaded area which is
14 of Rectangle X and
110 of Rectangle Y. If the length of Rectangle X is 14 cm and its breadth is 2 cm, what is the area of the unshaded part of rectangles X and Y?
| |
X |
Y |
Difference |
| Total areas |
4 u |
10 u |
6 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
3 u |
9 u |
6 u |
The overlapping shaded part of rectangles X and Y is the same.
Area of Rectangle X
= 14 x 2
= 28 cm
2 Area of Rectangle X = 4 u
Area of Rectangle Y = 10 u
4 u = 28
1 u = 28 ÷ 4 = 7
Area of unshaded parts of rectangles X and Y
= 3 u + 9 u
= 12 u
= 12 x 7
= 84 cm
2 Answer(s): 84 cm
2 
