The figure, not drawn to scale, is made up of Rectangle C and Rectangle D overlapping each other. The area of Rectangle C is
34 the area of Rectangle D. Given that
14 of Rectangle C is shaded. What fraction of the total area of the figure is unshaded?
Rectangle C |
Rectangle D |
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 C and Rectangle D share the same shaded area.
Rectangle C is the combined repeated identity. Make the area of Rectangle C 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