Two rectangles P and Q, not drawn to scale, overlap at R. R is the shaded area which is
13 of Rectangle P and
110 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 |
3 u |
10 u |
7 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
2 u |
9 u |
7 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 = 3 u
Area of Rectangle Q = 10 u
3 u = 24
1 u = 24 ÷ 3 = 8
Area of unshaded parts of rectangles P and Q
= 2 u + 9 u
= 11 u
= 11 x 8
= 88 m
2 Answer(s): 88 m
2