Two rectangles T and U, not drawn to scale, overlap at V. V is the shaded area which is
15 of Rectangle T and
17 of Rectangle U. If the length of Rectangle T is 6 m and its breadth is 5 m, what is the area of the unshaded part of rectangles T and U?
|
T |
U |
Difference |
Total areas |
5 u |
7 u |
2 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
4 u |
6 u |
2 u |
The overlapping shaded part of rectangles T and U is the same.
Area of Rectangle T
= 6 x 5
= 30 m
2 Area of Rectangle T = 5 u
Area of Rectangle U = 7 u
5 u = 30
1 u = 30 ÷ 5 = 6
Area of unshaded parts of rectangles T and U
= 4 u + 6 u
= 10 u
= 10 x 6
= 60 m
2 Answer(s): 60 m
2