Two rectangles D and E, not drawn to scale, overlap at F. F is the shaded area which is
14 of Rectangle D and
17 of Rectangle E. If the length of Rectangle D is 8 cm and its breadth is 5 cm, what is the area of the unshaded part of rectangles D and E?
| |
D |
E |
Difference |
| Total areas |
4 u |
7 u |
3 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
3 u |
6 u |
3 u |
The overlapping shaded part of rectangles D and E is the same.
Area of Rectangle D
= 8 x 5
= 40 cm
2 Area of Rectangle D = 4 u
Area of Rectangle E = 7 u
4 u = 40
1 u = 40 ÷ 4 = 10
Area of unshaded parts of rectangles D and E
= 3 u + 6 u
= 9 u
= 9 x 10
= 90 cm
2 Answer(s): 90 cm
2 
