Two rectangles T and U, not drawn to scale, overlap at V. V is the shaded area which is
17 of Rectangle T and
19 of Rectangle U. If the length of Rectangle T is 14 m and its breadth is 2 m, what is the area of the unshaded part of rectangles T and U?
|
T |
U |
Difference |
Total areas |
7 u |
9 u |
2 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
6 u |
8 u |
2 u |
The overlapping shaded part of rectangles T and U is the same.
Area of Rectangle T
= 14 x 2
= 28 m
2 Area of Rectangle T = 7 u
Area of Rectangle U = 9 u
7 u = 28
1 u = 28 ÷ 7 = 4
Area of unshaded parts of rectangles T and U
= 6 u + 8 u
= 14 u
= 14 x 4
= 56 m
2 Answer(s): 56 m
2