The figure, not drawn to scale, is made up of Rectangle F and Rectangle G overlapping each other. The area of Rectangle F is
34 the area of Rectangle G. Given that
12 of Rectangle F is shaded. What fraction of the total area of the figure is unshaded?
| Rectangle F |
Rectangle G |
| 3x2 = 6 u |
4x2 = 8 u |
| Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
| 1x3 |
1x3 |
1x3 |
|
| 3 u |
3 u |
3 u |
5 u |
Rectangle F and Rectangle G share the same shaded area.
Rectangle F is the combined repeated identity. Make the area of Rectangle F the same. LCM of 3 and 2 is 6.
Total unshaded areas
= 3 u + 5 u
= 8 u
Total area of the figure
= 3 u + 3 u + 5 u
= 11 u
Fraction of the figure unshaded
=
811 Answer(s):
811 
