Two rectangles W and X, not drawn to scale, overlap at Y. Y is the shaded area which is
12 of Rectangle W and
110 of Rectangle X. If the length of Rectangle W is 11 m and its breadth is 10 m, what is the area of the unshaded part of rectangles W and X?
| |
W |
X |
Difference |
| Total areas |
2 u |
10 u |
8 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
1 u |
9 u |
8 u |
The overlapping shaded part of rectangles W and X is the same.
Area of Rectangle W
= 11 x 10
= 110 m
2 Area of Rectangle W = 2 u
Area of Rectangle X = 10 u
2 u = 110
1 u = 110 ÷ 2 = 55
Area of unshaded parts of rectangles W and X
= 1 u + 9 u
= 10 u
= 10 x 55
= 550 m
2 Answer(s): 550 m
2 
