Respuesta :
Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
Polygon X is similar to polygon.
And Polygon X is three times the size of polygon Y.
So, it becomes,
[tex]\dfrac{\text{Perimeter of polygon X}}{\text{Perimeter of polygon Y}}=\dfrac{3}{1}\\\\\dfrac{81}{x}=\dfrac{3}{1}\\\\x=\dfrac{81}{3}\\\\x=27[/tex]
Hence, perimeter of polygon Y is 27.
Therefore, Option 'C' is correct.