Two rectangles T and U, not drawn to scale, overlap at V. V is the shaded area which is
12 of Rectangle T and
110 of Rectangle U. If the length of Rectangle T is 15 cm and its breadth is 8 cm, what is the area of the unshaded part of rectangles T and U?
|
T |
U |
Difference |
Total areas |
2 u |
10 u |
8 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
1 u |
9 u |
8 u |
The overlapping shaded part of rectangles T and U is the same.
Area of Rectangle T
= 15 x 8
= 120 cm
2 Area of Rectangle T = 2 u
Area of Rectangle U = 10 u
2 u = 120
1 u = 120 ÷ 2 = 60
Area of unshaded parts of rectangles T and U
= 1 u + 9 u
= 10 u
= 10 x 60
= 600 cm
2 Answer(s): 600 cm
2