The figure, not drawn to scale, is made up of Rectangle Q and Rectangle R overlapping each other. The area of Rectangle Q is
18 the area of Rectangle R. Given that
13 of Rectangle Q is shaded. What fraction of the total area of the figure is unshaded?
| Rectangle Q |
Rectangle R |
| 1x3 = 3 u |
8x3 = 24 u |
| Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
| 1x1 |
2x1 |
1x1 |
|
| 1 u |
2 u |
1 u |
23 u |
Rectangle Q and Rectangle R share the same shaded area.
Rectangle Q is the combined repeated identity. Make the area of Rectangle Q the same. LCM of 1 and 3 is 3.
Total unshaded areas
= 2 u + 23 u
= 25 u
Total area of the figure
= 1 u + 2 u + 23 u
= 26 u
Fraction of the figure unshaded
=
2526 Answer(s):
2526 
