Two rectangles T and U, not drawn to scale, overlap at V. V is the shaded area which is
12 of Rectangle T and
16 of Rectangle U. If the length of Rectangle T is 13 cm and its breadth is 6 cm, what is the area of the unshaded part of rectangles T and U?
| |
T |
U |
Difference |
| Total areas |
2 u |
6 u |
4 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
1 u |
5 u |
4 u |
The overlapping shaded part of rectangles T and U is the same.
Area of Rectangle T
= 13 x 6
= 78 cm
2 Area of Rectangle T = 2 u
Area of Rectangle U = 6 u
2 u = 78
1 u = 78 ÷ 2 = 39
Area of unshaded parts of rectangles T and U
= 1 u + 5 u
= 6 u
= 6 x 39
= 234 cm
2 Answer(s): 234 cm
2 
