Two rectangles E and F, not drawn to scale, overlap at G. G is the shaded area which is
13 of Rectangle E and
15 of Rectangle F. If the length of Rectangle E is 6 cm and its breadth is 5 cm, what is the area of the unshaded part of rectangles E and F?
|
E |
F |
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 E and F is the same.
Area of Rectangle E
= 6 x 5
= 30 cm
2 Area of Rectangle E = 3 u
Area of Rectangle F = 5 u
3 u = 30
1 u = 30 ÷ 3 = 10
Area of unshaded parts of rectangles E and F
= 2 u + 4 u
= 6 u
= 6 x 10
= 60 cm
2 Answer(s): 60 cm
2