Two rectangles Y and Z, not drawn to scale, overlap at A. A is the shaded area which is
12 of Rectangle Y and
15 of Rectangle Z. If the length of Rectangle Y is 9 cm and its breadth is 8 cm, what is the area of the unshaded part of rectangles Y and Z?
|
Y |
Z |
Difference |
Total areas |
2 u |
5 u |
3 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
1 u |
4 u |
3 u |
The overlapping shaded part of rectangles Y and Z is the same.
Area of Rectangle Y
= 9 x 8
= 72 cm
2 Area of Rectangle Y = 2 u
Area of Rectangle Z = 5 u
2 u = 72
1 u = 72 ÷ 2 = 36
Area of unshaded parts of rectangles Y and Z
= 1 u + 4 u
= 5 u
= 5 x 36
= 180 cm
2 Answer(s): 180 cm
2