Two rectangles E and F, not drawn to scale, overlap at G. G is the shaded area which is
15 of Rectangle E and
19 of Rectangle F. If the length of Rectangle E is 10 m and its breadth is 9 m, what is the area of the unshaded part of rectangles E and F?
|
E |
F |
Difference |
Total areas |
5 u |
9 u |
4 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
4 u |
8 u |
4 u |
The overlapping shaded part of rectangles E and F is the same.
Area of Rectangle E
= 10 x 9
= 90 m
2 Area of Rectangle E = 5 u
Area of Rectangle F = 9 u
5 u = 90
1 u = 90 ÷ 5 = 18
Area of unshaded parts of rectangles E and F
= 4 u + 8 u
= 12 u
= 12 x 18
= 216 m
2 Answer(s): 216 m
2