Two rectangles B and C, not drawn to scale, overlap at D. D is the shaded area which is
13 of Rectangle B and
17 of Rectangle C. If the length of Rectangle B is 6 cm and its breadth is 5 cm, what is the area of the unshaded part of rectangles B and C?
|
B |
C |
Difference |
Total areas |
3 u |
7 u |
4 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
2 u |
6 u |
4 u |
The overlapping shaded part of rectangles B and C is the same.
Area of Rectangle B
= 6 x 5
= 30 cm
2 Area of Rectangle B = 3 u
Area of Rectangle C = 7 u
3 u = 30
1 u = 30 ÷ 3 = 10
Area of unshaded parts of rectangles B and C
= 2 u + 6 u
= 8 u
= 8 x 10
= 80 cm
2 Answer(s): 80 cm
2