Two rectangles N and P, not drawn to scale, overlap at Q. Q is the shaded area which is
13 of Rectangle N and
19 of Rectangle P. If the length of Rectangle N is 15 cm and its breadth is 8 cm, what is the area of the unshaded part of rectangles N and P?
| |
N |
P |
Difference |
| Total areas |
3 u |
9 u |
6 u |
| Shaded part |
- 1 u |
- 1 u |
|
| Unshaded parts |
2 u |
8 u |
6 u |
The overlapping shaded part of rectangles N and P is the same.
Area of Rectangle N
= 15 x 8
= 120 cm
2 Area of Rectangle N = 3 u
Area of Rectangle P = 9 u
3 u = 120
1 u = 120 ÷ 3 = 40
Area of unshaded parts of rectangles N and P
= 2 u + 8 u
= 10 u
= 10 x 40
= 400 cm
2 Answer(s): 400 cm
2 
