Two rectangles Z and A, not drawn to scale, overlap at B. B is the shaded area which is
13 of Rectangle Z and
19 of Rectangle A. If the length of Rectangle Z is 12 m and its breadth is 3 m, what is the area of the unshaded part of rectangles Z and A?
|
Z |
A |
Difference |
Total areas |
3 u |
9 u |
6 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
2 u |
8 u |
6 u |
The overlapping shaded part of rectangles Z and A is the same.
Area of Rectangle Z
= 12 x 3
= 36 m
2 Area of Rectangle Z = 3 u
Area of Rectangle A = 9 u
3 u = 36
1 u = 36 ÷ 3 = 12
Area of unshaded parts of rectangles Z and A
= 2 u + 8 u
= 10 u
= 10 x 12
= 120 m
2 Answer(s): 120 m
2