Two rectangles P and Q, not drawn to scale, overlap at R. R is the shaded area which is
14 of Rectangle P and
17 of Rectangle Q. If the length of Rectangle P is 10 cm and its breadth is 6 cm, what is the area of the unshaded part of rectangles P and Q?
|
P |
Q |
Difference |
Total areas |
4 u |
7 u |
3 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
3 u |
6 u |
3 u |
The overlapping shaded part of rectangles P and Q is the same.
Area of Rectangle P
= 10 x 6
= 60 cm
2 Area of Rectangle P = 4 u
Area of Rectangle Q = 7 u
4 u = 60
1 u = 60 ÷ 4 = 15
Area of unshaded parts of rectangles P and Q
= 3 u + 6 u
= 9 u
= 9 x 15
= 135 cm
2 Answer(s): 135 cm
2