The figure, not drawn to scale, is made up of Rectangle U and Rectangle V overlapping each other. The area of Rectangle U is
34 the area of Rectangle V. Given that
14 of Rectangle U is shaded. What fraction of the total area of the figure is unshaded?
Rectangle U |
Rectangle V |
3x4 = 12 u |
4x4 = 16 u |
Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
1x3 |
3x3 |
1x3 |
|
3 u |
9 u |
3 u |
13 u |
Rectangle U and Rectangle V share the same shaded area.
Rectangle U is the combined repeated identity. Make the area of Rectangle U the same. LCM of 3 and 4 is 12.
Total unshaded areas
= 9 u + 13 u
= 22 u
Total area of the figure
= 3 u + 9 u + 13 u
= 25 u
Fraction of the figure unshaded
=
2225 Answer(s):
2225