Two rectangles P and Q, not drawn to scale, overlap at R. R is the shaded area which is
12 of Rectangle P and
110 of Rectangle Q. If the length of Rectangle P is 12 cm and its breadth is 9 cm, what is the area of the unshaded part of rectangles P and Q?
|
P |
Q |
Difference |
Total areas |
2 u |
10 u |
8 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
1 u |
9 u |
8 u |
The overlapping shaded part of rectangles P and Q is the same.
Area of Rectangle P
= 12 x 9
= 108 cm
2 Area of Rectangle P = 2 u
Area of Rectangle Q = 10 u
2 u = 108
1 u = 108 ÷ 2 = 54
Area of unshaded parts of rectangles P and Q
= 1 u + 9 u
= 10 u
= 10 x 54
= 540 cm
2 Answer(s): 540 cm
2