Two rectangles F and G, not drawn to scale, overlap at H. H is the shaded area which is
13 of Rectangle F and
16 of Rectangle G. If the length of Rectangle F is 12 cm and its breadth is 9 cm, what is the area of the unshaded part of rectangles F and G?
| |
F |
G |
Difference |
| Total areas |
3 u |
6 u |
3 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
2 u |
5 u |
3 u |
The overlapping shaded part of rectangles F and G is the same.
Area of Rectangle F
= 12 x 9
= 108 cm
2 Area of Rectangle F = 3 u
Area of Rectangle G = 6 u
3 u = 108
1 u = 108 ÷ 3 = 36
Area of unshaded parts of rectangles F and G
= 2 u + 5 u
= 7 u
= 7 x 36
= 252 cm
2 Answer(s): 252 cm
2 
