Two rectangles X and Y, not drawn to scale, overlap at Z. Z is the shaded area which is
12 of Rectangle X and
14 of Rectangle Y. If the length of Rectangle X is 9 cm and its breadth is 8 cm, what is the area of the unshaded part of rectangles X and Y?
|
X |
Y |
Difference |
Total areas |
2 u |
4 u |
2 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
1 u |
3 u |
2 u |
The overlapping shaded part of rectangles X and Y is the same.
Area of Rectangle X
= 9 x 8
= 72 cm
2 Area of Rectangle X = 2 u
Area of Rectangle Y = 4 u
2 u = 72
1 u = 72 ÷ 2 = 36
Area of unshaded parts of rectangles X and Y
= 1 u + 3 u
= 4 u
= 4 x 36
= 144 cm
2 Answer(s): 144 cm
2