Two rectangles V and W, not drawn to scale, overlap at X. X is the shaded area which is
12 of Rectangle V and
15 of Rectangle W. If the length of Rectangle V is 15 cm and its breadth is 10 cm, what is the area of the unshaded part of rectangles V and W?
|
V |
W |
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 V and W is the same.
Area of Rectangle V
= 15 x 10
= 150 cm
2 Area of Rectangle V = 2 u
Area of Rectangle W = 5 u
2 u = 150
1 u = 150 ÷ 2 = 75
Area of unshaded parts of rectangles V and W
= 1 u + 4 u
= 5 u
= 5 x 75
= 375 cm
2 Answer(s): 375 cm
2