The figure, not drawn to scale, is made up of Rectangle V and Rectangle W overlapping each other. The area of Rectangle V is
34 the area of Rectangle W. Given that
13 of Rectangle V is shaded. What fraction of the total area of the figure is unshaded?
Rectangle V |
Rectangle W |
3x1 = 3 u |
4x1 = 4 u |
Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
1x1 |
2x1 |
1x1 |
|
1 u |
2 u |
1 u |
3 u |
Rectangle V and Rectangle W share the same shaded area.
Rectangle V is the combined repeated identity. Make the area of Rectangle V the same. LCM of 3 and 3 is 3.
Total unshaded areas
= 2 u + 3 u
= 5 u
Total area of the figure
= 1 u + 2 u + 3 u
= 6 u
Fraction of the figure unshaded
=
56 Answer(s):
56