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 9 m and its breadth is 6 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
= 9 x 6
= 54 m
2 Area of Rectangle N = 2 u
Area of Rectangle P = 9 u
2 u = 54
1 u = 54 ÷ 2 = 27
Area of unshaded parts of rectangles N and P
= 1 u + 8 u
= 9 u
= 9 x 27
= 243 m
2 Answer(s): 243 m
2