Two rectangles Q and R, not drawn to scale, overlap at S. S is the shaded area which is
12 of Rectangle Q and
17 of Rectangle R. If the length of Rectangle Q is 13 cm and its breadth is 10 cm, what is the area of the unshaded part of rectangles Q and R?
|
Q |
R |
Difference |
Total areas |
2 u |
7 u |
5 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
1 u |
6 u |
5 u |
The overlapping shaded part of rectangles Q and R is the same.
Area of Rectangle Q
= 13 x 10
= 130 cm
2 Area of Rectangle Q = 2 u
Area of Rectangle R = 7 u
2 u = 130
1 u = 130 ÷ 2 = 65
Area of unshaded parts of rectangles Q and R
= 1 u + 6 u
= 7 u
= 7 x 65
= 455 cm
2 Answer(s): 455 cm
2