Two rectangles A and B, not drawn to scale, overlap at C. C is the shaded area which is
12 of Rectangle A and
14 of Rectangle B. If the length of Rectangle A is 8 cm and its breadth is 2 cm, what is the area of the unshaded part of rectangles A and B?
|
A |
B |
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 A and B is the same.
Area of Rectangle A
= 8 x 2
= 16 cm
2 Area of Rectangle A = 2 u
Area of Rectangle B = 4 u
2 u = 16
1 u = 16 ÷ 2 = 8
Area of unshaded parts of rectangles A and B
= 1 u + 3 u
= 4 u
= 4 x 8
= 32 cm
2 Answer(s): 32 cm
2