Two rectangles X and Y, not drawn to scale, overlap at Z. Z is the shaded area which is
15 of Rectangle X and
17 of Rectangle Y. If the length of Rectangle X is 13 m and its breadth is 10 m, what is the area of the unshaded part of rectangles X and Y?
| |
X |
Y |
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 X and Y is the same.
Area of Rectangle X
= 13 x 10
= 130 m
2 Area of Rectangle X = 5 u
Area of Rectangle Y = 7 u
5 u = 130
1 u = 130 ÷ 5 = 26
Area of unshaded parts of rectangles X and Y
= 4 u + 6 u
= 10 u
= 10 x 26
= 260 m
2 Answer(s): 260 m
2 
