Answer: [tex]y=4x[/tex]
Step-by-step explanation:
A direct variation equation has the form:
[tex]y=kx[/tex]
Where k is a constant.
By definition, we know that the perimeter of the square is the sum of the lengths of its sides or, as all the sides are equal, you can multiply the lenght of any side by 4.
Then, knowing that y is the dependent value and x the independent value and the constant k=4, you can write the following direct variation equation that represents the situation.
[tex]y=4x[/tex]