Two rectangles R and S, not drawn to scale, overlap at T. T is the shaded area which is
15 of Rectangle R and
17 of Rectangle S. If the length of Rectangle R is 12 m and its breadth is 5 m, what is the area of the unshaded part of rectangles R and S?
| |
R |
S |
Difference |
| Total areas |
5 u |
7 u |
2 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
4 u |
6 u |
2 u |
The overlapping shaded part of rectangles R and S is the same.
Area of Rectangle R
= 12 x 5
= 60 m
2 Area of Rectangle R = 5 u
Area of Rectangle S = 7 u
5 u = 60
1 u = 60 ÷ 5 = 12
Area of unshaded parts of rectangles R and S
= 4 u + 6 u
= 10 u
= 10 x 12
= 120 m
2 Answer(s): 120 m
2 
