Respuesta :

Answer:

x = √13.5 or 3.67 to the nearest hundredth.

Step-by-step explanation:

A square has equal sides so let each side be x units long.

By the Pythagoras theorem:

(3√3)^2 = x^2 + x^2  

27 = 2x^2

x^2 = 13.5

x = √13.5