Two rectangles Y and Z, not drawn to scale, overlap at A. A is the shaded area which is
12 of Rectangle Y and
17 of Rectangle Z. If the length of Rectangle Y is 12 m and its breadth is 5 m, what is the area of the unshaded part of rectangles Y and Z?
| |
Y |
Z |
Difference |
| Total areas |
2 u |
7 u |
5 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
1 u |
6 u |
5 u |
The overlapping shaded part of rectangles Y and Z is the same.
Area of Rectangle Y
= 12 x 5
= 60 m
2 Area of Rectangle Y = 2 u
Area of Rectangle Z = 7 u
2 u = 60
1 u = 60 ÷ 2 = 30
Area of unshaded parts of rectangles Y and Z
= 1 u + 6 u
= 7 u
= 7 x 30
= 210 m
2 Answer(s): 210 m
2 
