Two rectangles T and U, not drawn to scale, overlap at V. V is the shaded area which is
14 of Rectangle T and
17 of Rectangle U. If the length of Rectangle T is 14 cm and its breadth is 2 cm, what is the area of the unshaded part of rectangles T and U?
|
T |
U |
Difference |
Total areas |
4 u |
7 u |
3 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
3 u |
6 u |
3 u |
The overlapping shaded part of rectangles T and U is the same.
Area of Rectangle T
= 14 x 2
= 28 cm
2 Area of Rectangle T = 4 u
Area of Rectangle U = 7 u
4 u = 28
1 u = 28 ÷ 4 = 7
Area of unshaded parts of rectangles T and U
= 3 u + 6 u
= 9 u
= 9 x 7
= 63 cm
2 Answer(s): 63 cm
2