Two rectangles Y and Z, not drawn to scale, overlap at A. A is the shaded area which is
17 of Rectangle Y and
19 of Rectangle Z. If the length of Rectangle Y is 11 m and its breadth is 7 m, what is the area of the unshaded part of rectangles Y and Z?
| |
Y |
Z |
Difference |
| Total areas |
7 u |
9 u |
2 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
6 u |
8 u |
2 u |
The overlapping shaded part of rectangles Y and Z is the same.
Area of Rectangle Y
= 11 x 7
= 77 m
2 Area of Rectangle Y = 7 u
Area of Rectangle Z = 9 u
7 u = 77
1 u = 77 ÷ 7 = 11
Area of unshaded parts of rectangles Y and Z
= 6 u + 8 u
= 14 u
= 14 x 11
= 154 m
2 Answer(s): 154 m
2 
