The figure, not drawn to scale, is made up of Rectangle P and Rectangle Q overlapping each other. The area of Rectangle P is
12 the area of Rectangle Q. Given that
18 of Rectangle P is shaded. What fraction of the total area of the figure is unshaded?
| Rectangle P |
Rectangle Q |
| 1x8 = 8 u |
2x8 = 16 u |
| Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
| 1x1 |
7x1 |
1x1 |
|
| 1 u |
7 u |
1 u |
15 u |
Rectangle P and Rectangle Q share the same shaded area.
Rectangle P is the combined repeated identity. Make the area of Rectangle P the same. LCM of 1 and 8 is 8.
Total unshaded areas
= 7 u + 15 u
= 22 u
Total area of the figure
= 1 u + 7 u + 15 u
= 23 u
Fraction of the figure unshaded
=
2223 Answer(s):
2223 
