The figure, not drawn to scale, is made up of Rectangle Y and Rectangle Z overlapping each other. The area of Rectangle Y is
35 the area of Rectangle Z. Given that
13 of Rectangle Y is shaded. What fraction of the total area of the figure is unshaded?
| Rectangle Y |
Rectangle Z |
| 3x1 = 3 u |
5x1 = 5 u |
| Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
| 1x1 |
2x1 |
1x1 |
|
| 1 u |
2 u |
1 u |
4 u |
Rectangle Y and Rectangle Z share the same shaded area.
Rectangle Y is the combined repeated identity. Make the area of Rectangle Y the same. LCM of 3 and 3 is 3.
Total unshaded areas
= 2 u + 4 u
= 6 u
Total area of the figure
= 1 u + 2 u + 4 u
= 7 u
Fraction of the figure unshaded
=
67 Answer(s):
67 
