The figure, not drawn to scale, is made up of Rectangle S and Rectangle T overlapping each other. The area of Rectangle S is
12 the area of Rectangle T. Given that
13 of Rectangle S is shaded. What fraction of the total area of the figure is unshaded?
| Rectangle S |
Rectangle T |
| 1x3 = 3 u |
2x3 = 6 u |
| Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
| 1x1 |
2x1 |
1x1 |
|
| 1 u |
2 u |
1 u |
5 u |
Rectangle S and Rectangle T share the same shaded area.
Rectangle S is the combined repeated identity. Make the area of Rectangle S the same. LCM of 1 and 3 is 3.
Total unshaded areas
= 2 u + 5 u
= 7 u
Total area of the figure
= 1 u + 2 u + 5 u
= 8 u
Fraction of the figure unshaded
=
78 Answer(s):
78 
