Two rectangles P and Q, not drawn to scale, overlap at R. R is the shaded area which is
16 of Rectangle P and
19 of Rectangle Q. If the length of Rectangle P is 6 m and its breadth is 4 m, what is the area of the unshaded part of rectangles P and Q?
| |
P |
Q |
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 P and Q is the same.
Area of Rectangle P
= 6 x 4
= 24 m
2 Area of Rectangle P = 6 u
Area of Rectangle Q = 9 u
6 u = 24
1 u = 24 ÷ 6 = 4
Area of unshaded parts of rectangles P and Q
= 5 u + 8 u
= 13 u
= 13 x 4
= 52 m
2 Answer(s): 52 m
2 
