Two rectangles N and P, not drawn to scale, overlap at Q. Q is the shaded area which is
13 of Rectangle N and
17 of Rectangle P. If the length of Rectangle N is 9 m and its breadth is 8 m, what is the area of the unshaded part of rectangles N and P?
|
N |
P |
Difference |
Total areas |
3 u |
7 u |
4 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
2 u |
6 u |
4 u |
The overlapping shaded part of rectangles N and P is the same.
Area of Rectangle N
= 9 x 8
= 72 m
2 Area of Rectangle N = 3 u
Area of Rectangle P = 7 u
3 u = 72
1 u = 72 ÷ 3 = 24
Area of unshaded parts of rectangles N and P
= 2 u + 6 u
= 8 u
= 8 x 24
= 192 m
2 Answer(s): 192 m
2