Complete each blank using the given information for a square.

Given:
The side of the square = [tex]9\sqrt{6}[/tex] m
To find:
The diagonal of the square.
Solution:
We know that the diagonal of a square is:
[tex]d=a\sqrt{2}[/tex]
Where, d is the length of diagonal and a is the side of the square.
Putting [tex]a=9\sqrt{6}[/tex], we get
[tex]d=9\sqrt{6}\sqrt{2}[/tex]
[tex]d=9\sqrt{12}[/tex]
[tex]d=9(2\sqrt{3})[/tex]
[tex]d=18\sqrt{3}[/tex]
Therefore, the diagonal of the square is [tex]18\sqrt{3}[/tex] m.