The figure, not drawn to scale, is made up of Rectangle T and Rectangle U overlapping each other. The area of Rectangle T is
15 the area of Rectangle U. Given that
13 of Rectangle T is shaded. What fraction of the total area of the figure is unshaded?
| Rectangle T |
Rectangle U |
| 1x3 = 3 u |
5x3 = 15 u |
| Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
| 1x1 |
2x1 |
1x1 |
|
| 1 u |
2 u |
1 u |
14 u |
Rectangle T and Rectangle U share the same shaded area.
Rectangle T is the combined repeated identity. Make the area of Rectangle T the same. LCM of 1 and 3 is 3.
Total unshaded areas
= 2 u + 14 u
= 16 u
Total area of the figure
= 1 u + 2 u + 14 u
= 17 u
Fraction of the figure unshaded
=
1617 Answer(s):
1617 
