Two rectangles Y and Z, not drawn to scale, overlap at A. A is the shaded area which is
15 of Rectangle Y and
110 of Rectangle Z. If the length of Rectangle Y is 10 cm and its breadth is 9 cm, what is the area of the unshaded part of rectangles Y and Z?
|
Y |
Z |
Difference |
Total areas |
5 u |
10 u |
5 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
4 u |
9 u |
5 u |
The overlapping shaded part of rectangles Y and Z is the same.
Area of Rectangle Y
= 10 x 9
= 90 cm
2 Area of Rectangle Y = 5 u
Area of Rectangle Z = 10 u
5 u = 90
1 u = 90 ÷ 5 = 18
Area of unshaded parts of rectangles Y and Z
= 4 u + 9 u
= 13 u
= 13 x 18
= 234 cm
2 Answer(s): 234 cm
2