The figure, not drawn to scale, is made up of Rectangle P and Rectangle Q overlapping each other. The area of Rectangle P is
12 the area of Rectangle Q. Given that
12 of Rectangle P is shaded. What fraction of the total area of the figure is unshaded?
Rectangle P |
Rectangle Q |
1x2 = 2 u |
2x2 = 4 u |
Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
1x1 |
1x1 |
1x1 |
|
1 u |
1 u |
1 u |
3 u |
Rectangle P and Rectangle Q share the same shaded area.
Rectangle P is the combined repeated identity. Make the area of Rectangle P the same. LCM of 1 and 2 is 2.
Total unshaded areas
= 1 u + 3 u
= 4 u
Total area of the figure
= 1 u + 1 u + 3 u
= 5 u
Fraction of the figure unshaded
=
45 Answer(s):
45