Two rectangles N and P, not drawn to scale, overlap at Q. Q is the shaded area which is
12 of Rectangle N and
19 of Rectangle P. If the length of Rectangle N is 12 m and its breadth is 10 m, what is the area of the unshaded part of rectangles N and P?
| |
N |
P |
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 N and P is the same.
Area of Rectangle N
= 12 x 10
= 120 m
2 Area of Rectangle N = 2 u
Area of Rectangle P = 9 u
2 u = 120
1 u = 120 ÷ 2 = 60
Area of unshaded parts of rectangles N and P
= 1 u + 8 u
= 9 u
= 9 x 60
= 540 m
2 Answer(s): 540 m
2 
