Two rectangles D and E, not drawn to scale, overlap at F. F is the shaded area which is
13 of Rectangle D and
16 of Rectangle E. If the length of Rectangle D is 10 cm and its breadth is 6 cm, what is the area of the unshaded part of rectangles D and E?
| |
D |
E |
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 D and E is the same.
Area of Rectangle D
= 10 x 6
= 60 cm
2 Area of Rectangle D = 3 u
Area of Rectangle E = 6 u
3 u = 60
1 u = 60 ÷ 3 = 20
Area of unshaded parts of rectangles D and E
= 2 u + 5 u
= 7 u
= 7 x 20
= 140 cm
2 Answer(s): 140 cm
2 
