Two rectangles F and G, not drawn to scale, overlap at H. H is the shaded area which is
12 of Rectangle F and
19 of Rectangle G. If the length of Rectangle F is 10 m and its breadth is 7 m, what is the area of the unshaded part of rectangles F and G?
|
F |
G |
Difference |
Total areas |
2 u |
9 u |
7 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
1 u |
8 u |
7 u |
The overlapping shaded part of rectangles F and G is the same.
Area of Rectangle F
= 10 x 7
= 70 m
2 Area of Rectangle F = 2 u
Area of Rectangle G = 9 u
2 u = 70
1 u = 70 ÷ 2 = 35
Area of unshaded parts of rectangles F and G
= 1 u + 8 u
= 9 u
= 9 x 35
= 315 m
2 Answer(s): 315 m
2