The figure, not drawn to scale, consists of 1 Rectangle X and 1 Square Y whose areas are in the ratio of 3 : 1. Given that
314 of Rectangle X is shaded, what fraction of Square Y is shaded?
Area of Rectangle X |
Area of Square Y |
3x14 = 42 u |
1x14 = 14 u |
Unshaded area |
Shaded area |
Unshaded area |
Shaded area |
11x3 |
3x3 |
|
3x3 |
33 u |
9 u |
|
9 u |
Area of Rectangle X is the repeated identity.
Shaded area of Rectangle X is the same as the shaded area of Square Y.
LCM of 3 and 14 = 42
Fraction of Square Y that is shaded
=
914 Answer(s):
914