Two rectangles J and K, not drawn to scale, overlap at L. L is the shaded area which is
13 of Rectangle J and
16 of Rectangle K. If the length of Rectangle J is 9 cm and its breadth is 6 cm, what is the area of the unshaded part of rectangles J and K?
| |
J |
K |
Difference |
| Total areas |
3 u |
6 u |
3 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
2 u |
5 u |
3 u |
The overlapping shaded part of rectangles J and K is the same.
Area of Rectangle J
= 9 x 6
= 54 cm
2 Area of Rectangle J = 3 u
Area of Rectangle K = 6 u
3 u = 54
1 u = 54 ÷ 3 = 18
Area of unshaded parts of rectangles J and K
= 2 u + 5 u
= 7 u
= 7 x 18
= 126 cm
2 Answer(s): 126 cm
2 
