Two rectangles J and K, not drawn to scale, overlap at L. L is the shaded area which is
12 of Rectangle J and
14 of Rectangle K. If the length of Rectangle J is 14 cm and its breadth is 7 cm, what is the area of the unshaded part of rectangles J and K?
|
J |
K |
Difference |
Total areas |
2 u |
4 u |
2 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
1 u |
3 u |
2 u |
The overlapping shaded part of rectangles J and K is the same.
Area of Rectangle J
= 14 x 7
= 98 cm
2 Area of Rectangle J = 2 u
Area of Rectangle K = 4 u
2 u = 98
1 u = 98 ÷ 2 = 49
Area of unshaded parts of rectangles J and K
= 1 u + 3 u
= 4 u
= 4 x 49
= 196 cm
2 Answer(s): 196 cm
2