The figure, not drawn to scale, is made up of Rectangle Z and Rectangle A overlapping each other. The area of Rectangle Z is
15 the area of Rectangle A. Given that
12 of Rectangle Z is shaded. What fraction of the total area of the figure is unshaded?
| Rectangle Z |
Rectangle A |
| 1x2 = 2 u |
5x2 = 10 u |
| Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
| 1x1 |
1x1 |
1x1 |
|
| 1 u |
1 u |
1 u |
9 u |
Rectangle Z and Rectangle A share the same shaded area.
Rectangle Z is the combined repeated identity. Make the area of Rectangle Z the same. LCM of 1 and 2 is 2.
Total unshaded areas
= 1 u + 9 u
= 10 u
Total area of the figure
= 1 u + 1 u + 9 u
= 11 u
Fraction of the figure unshaded
=
1011 Answer(s):
1011 
