Two rectangles U and V, not drawn to scale, overlap at W. W is the shaded area which is
14 of Rectangle U and
110 of Rectangle V. If the length of Rectangle U is 12 cm and its breadth is 7 cm, what is the area of the unshaded part of rectangles U and V?
|
U |
V |
Difference |
Total areas |
4 u |
10 u |
6 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
3 u |
9 u |
6 u |
The overlapping shaded part of rectangles U and V is the same.
Area of Rectangle U
= 12 x 7
= 84 cm
2 Area of Rectangle U = 4 u
Area of Rectangle V = 10 u
4 u = 84
1 u = 84 ÷ 4 = 21
Area of unshaded parts of rectangles U and V
= 3 u + 9 u
= 12 u
= 12 x 21
= 252 cm
2 Answer(s): 252 cm
2