The figure, not drawn to scale, is made up of Rectangle G and Rectangle H overlapping each other. The area of Rectangle G is
17 the area of Rectangle H. Given that
12 of Rectangle G is shaded. What fraction of the total area of the figure is unshaded?
| Rectangle G |
Rectangle H |
| 1x2 = 2 u |
7x2 = 14 u |
| Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
| 1x1 |
1x1 |
1x1 |
|
| 1 u |
1 u |
1 u |
13 u |
Rectangle G and Rectangle H share the same shaded area.
Rectangle G is the combined repeated identity. Make the area of Rectangle G the same. LCM of 1 and 2 is 2.
Total unshaded areas
= 1 u + 13 u
= 14 u
Total area of the figure
= 1 u + 1 u + 13 u
= 15 u
Fraction of the figure unshaded
=
1415 Answer(s):
1415 
