Two rectangles C and D, not drawn to scale, overlap at E. E is the shaded area which is
13 of Rectangle C and
17 of Rectangle D. If the length of Rectangle C is 6 cm and its breadth is 4 cm, what is the area of the unshaded part of rectangles C and D?
|
C |
D |
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 C and D is the same.
Area of Rectangle C
= 6 x 4
= 24 cm
2 Area of Rectangle C = 3 u
Area of Rectangle D = 7 u
3 u = 24
1 u = 24 ÷ 3 = 8
Area of unshaded parts of rectangles C and D
= 2 u + 6 u
= 8 u
= 8 x 8
= 64 cm
2 Answer(s): 64 cm
2