Two rectangles Y and Z, not drawn to scale, overlap at A. A is the shaded area which is
14 of Rectangle Y and
17 of Rectangle Z. If the length of Rectangle Y is 10 cm and its breadth is 6 cm, what is the area of the unshaded part of rectangles Y and Z?
|
Y |
Z |
Difference |
Total areas |
4 u |
7 u |
3 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
3 u |
6 u |
3 u |
The overlapping shaded part of rectangles Y and Z is the same.
Area of Rectangle Y
= 10 x 6
= 60 cm
2 Area of Rectangle Y = 4 u
Area of Rectangle Z = 7 u
4 u = 60
1 u = 60 ÷ 4 = 15
Area of unshaded parts of rectangles Y and Z
= 3 u + 6 u
= 9 u
= 9 x 15
= 135 cm
2 Answer(s): 135 cm
2