Two rectangles E and F, not drawn to scale, overlap at G. G is the shaded area which is
13 of Rectangle E and
19 of Rectangle F. If the length of Rectangle E is 12 m and its breadth is 8 m, what is the area of the unshaded part of rectangles E and F?
|
E |
F |
Difference |
Total areas |
3 u |
9 u |
6 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
2 u |
8 u |
6 u |
The overlapping shaded part of rectangles E and F is the same.
Area of Rectangle E
= 12 x 8
= 96 m
2 Area of Rectangle E = 3 u
Area of Rectangle F = 9 u
3 u = 96
1 u = 96 ÷ 3 = 32
Area of unshaded parts of rectangles E and F
= 2 u + 8 u
= 10 u
= 10 x 32
= 320 m
2 Answer(s): 320 m
2