Two rectangles Y and Z, not drawn to scale, overlap at A. A is the shaded area which is
13 of Rectangle Y and
15 of Rectangle Z. If the length of Rectangle Y is 10 cm and its breadth is 9 cm, what is the area of the unshaded part of rectangles Y and Z?
| |
Y |
Z |
Difference |
| Total areas |
3 u |
5 u |
2 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
2 u |
4 u |
2 u |
The overlapping shaded part of rectangles Y and Z is the same.
Area of Rectangle Y
= 10 x 9
= 90 cm
2 Area of Rectangle Y = 3 u
Area of Rectangle Z = 5 u
3 u = 90
1 u = 90 ÷ 3 = 30
Area of unshaded parts of rectangles Y and Z
= 2 u + 4 u
= 6 u
= 6 x 30
= 180 cm
2 Answer(s): 180 cm
2 
