Two rectangles A and B, not drawn to scale, overlap at C. C is the shaded area which is
16 of Rectangle A and
19 of Rectangle B. If the length of Rectangle A is 14 m and its breadth is 3 m, what is the area of the unshaded part of rectangles A and B?
|
A |
B |
Difference |
Total areas |
6 u |
9 u |
3 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
5 u |
8 u |
3 u |
The overlapping shaded part of rectangles A and B is the same.
Area of Rectangle A
= 14 x 3
= 42 m
2 Area of Rectangle A = 6 u
Area of Rectangle B = 9 u
6 u = 42
1 u = 42 ÷ 6 = 7
Area of unshaded parts of rectangles A and B
= 5 u + 8 u
= 13 u
= 13 x 7
= 91 m
2 Answer(s): 91 m
2