Two rectangles R and S, not drawn to scale, overlap at T. T is the shaded area which is
13 of Rectangle R and
17 of Rectangle S. If the length of Rectangle R is 13 m and its breadth is 9 m, what is the area of the unshaded part of rectangles R and S?
| |
R |
S |
Difference |
| Total areas |
3 u |
7 u |
4 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
2 u |
6 u |
4 u |
The overlapping shaded part of rectangles R and S is the same.
Area of Rectangle R
= 13 x 9
= 117 m
2 Area of Rectangle R = 3 u
Area of Rectangle S = 7 u
3 u = 117
1 u = 117 ÷ 3 = 39
Area of unshaded parts of rectangles R and S
= 2 u + 6 u
= 8 u
= 8 x 39
= 312 m
2 Answer(s): 312 m
2 
