Two rectangles B and C, not drawn to scale, overlap at D. D is the shaded area which is
14 of Rectangle B and
110 of Rectangle C. If the length of Rectangle B is 12 m and its breadth is 4 m, what is the area of the unshaded part of rectangles B and C?
| |
B |
C |
Difference |
| Total areas |
4 u |
10 u |
6 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
3 u |
9 u |
6 u |
The overlapping shaded part of rectangles B and C is the same.
Area of Rectangle B
= 12 x 4
= 48 m
2 Area of Rectangle B = 4 u
Area of Rectangle C = 10 u
4 u = 48
1 u = 48 ÷ 4 = 12
Area of unshaded parts of rectangles B and C
= 3 u + 9 u
= 12 u
= 12 x 12
= 144 m
2 Answer(s): 144 m
2 
