Two rectangles Q and R, not drawn to scale, overlap at S. S is the shaded area which is
16 of Rectangle Q and
19 of Rectangle R. If the length of Rectangle Q is 10 cm and its breadth is 3 cm, what is the area of the unshaded part of rectangles Q and R?
|
Q |
R |
Difference |
Total areas |
6 u |
9 u |
3 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
5 u |
8 u |
3 u |
The overlapping shaded part of rectangles Q and R is the same.
Area of Rectangle Q
= 10 x 3
= 30 cm
2 Area of Rectangle Q = 6 u
Area of Rectangle R = 9 u
6 u = 30
1 u = 30 ÷ 6 = 5
Area of unshaded parts of rectangles Q and R
= 5 u + 8 u
= 13 u
= 13 x 5
= 65 cm
2 Answer(s): 65 cm
2