Two rectangles Q and R, not drawn to scale, overlap at S. S is the shaded area which is
12 of Rectangle Q and
19 of Rectangle R. If the length of Rectangle Q is 11 cm and its breadth is 2 cm, what is the area of the unshaded part of rectangles Q and R?
|
Q |
R |
Difference |
Total areas |
2 u |
9 u |
7 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
1 u |
8 u |
7 u |
The overlapping shaded part of rectangles Q and R is the same.
Area of Rectangle Q
= 11 x 2
= 22 cm
2 Area of Rectangle Q = 2 u
Area of Rectangle R = 9 u
2 u = 22
1 u = 22 ÷ 2 = 11
Area of unshaded parts of rectangles Q and R
= 1 u + 8 u
= 9 u
= 9 x 11
= 99 cm
2 Answer(s): 99 cm
2