Two rectangles X and Y, not drawn to scale, overlap at Z. Z is the shaded area which is
12 of Rectangle X and
16 of Rectangle Y. If the length of Rectangle X is 8 m and its breadth is 4 m, what is the area of the unshaded part of rectangles X and Y?
| |
X |
Y |
Difference |
| Total areas |
2 u |
6 u |
4 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
1 u |
5 u |
4 u |
The overlapping shaded part of rectangles X and Y is the same.
Area of Rectangle X
= 8 x 4
= 32 m
2 Area of Rectangle X = 2 u
Area of Rectangle Y = 6 u
2 u = 32
1 u = 32 ÷ 2 = 16
Area of unshaded parts of rectangles X and Y
= 1 u + 5 u
= 6 u
= 6 x 16
= 96 m
2 Answer(s): 96 m
2 
