Two rectangles K and L, not drawn to scale, overlap at M. M is the shaded area which is
13 of Rectangle K and
19 of Rectangle L. If the length of Rectangle K is 14 cm and its breadth is 6 cm, what is the area of the unshaded part of rectangles K and L?
|
K |
L |
Difference |
Total areas |
3 u |
9 u |
6 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
2 u |
8 u |
6 u |
The overlapping shaded part of rectangles K and L is the same.
Area of Rectangle K
= 14 x 6
= 84 cm
2 Area of Rectangle K = 3 u
Area of Rectangle L = 9 u
3 u = 84
1 u = 84 ÷ 3 = 28
Area of unshaded parts of rectangles K and L
= 2 u + 8 u
= 10 u
= 10 x 28
= 280 cm
2 Answer(s): 280 cm
2