The figure, not drawn to scale, is made up of Rectangle V and Rectangle W overlapping each other. The area of Rectangle V is
78 the area of Rectangle W. Given that
17 of Rectangle V is shaded. What fraction of the total area of the figure is unshaded?
| Rectangle V |
Rectangle W |
| 7x1 = 7 u |
8x1 = 8 u |
| Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
| 1x1 |
6x1 |
1x1 |
|
| 1 u |
6 u |
1 u |
7 u |
Rectangle V and Rectangle W share the same shaded area.
Rectangle V is the combined repeated identity. Make the area of Rectangle V the same. LCM of 7 and 7 is 7.
Total unshaded areas
= 6 u + 7 u
= 13 u
Total area of the figure
= 1 u + 6 u + 7 u
= 14 u
Fraction of the figure unshaded
=
1314 Answer(s):
1314 
