Two rectangles A and B, not drawn to scale, overlap at C. C is the shaded area which is
16 of Rectangle A and
110 of Rectangle B. If the length of Rectangle A is 12 cm and its breadth is 10 cm, what is the area of the unshaded part of rectangles A and B?
|
A |
B |
Difference |
Total areas |
6 u |
10 u |
4 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
5 u |
9 u |
4 u |
The overlapping shaded part of rectangles A and B is the same.
Area of Rectangle A
= 12 x 10
= 120 cm
2 Area of Rectangle A = 6 u
Area of Rectangle B = 10 u
6 u = 120
1 u = 120 ÷ 6 = 20
Area of unshaded parts of rectangles A and B
= 5 u + 9 u
= 14 u
= 14 x 20
= 280 cm
2 Answer(s): 280 cm
2