Two rectangles D and E, not drawn to scale, overlap at F. F is the shaded area which is
13 of Rectangle D and
15 of Rectangle E. If the length of Rectangle D is 6 cm and its breadth is 3 cm, what is the area of the unshaded part of rectangles D and E?
|
D |
E |
Difference |
Total areas |
3 u |
5 u |
2 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
2 u |
4 u |
2 u |
The overlapping shaded part of rectangles D and E is the same.
Area of Rectangle D
= 6 x 3
= 18 cm
2 Area of Rectangle D = 3 u
Area of Rectangle E = 5 u
3 u = 18
1 u = 18 ÷ 3 = 6
Area of unshaded parts of rectangles D and E
= 2 u + 4 u
= 6 u
= 6 x 6
= 36 cm
2 Answer(s): 36 cm
2