Respuesta :

By definition, the perimeter of a square is given by:

[tex] P = 4L [/tex]

Where,

L: length of the sides of the square.

When the sides of the square are tripled, the equation changes as follows:

[tex] P '= 4 (3L) [/tex]

Then, rewriting the equation we have:

[tex] P '= 3 (4L) [/tex]

[tex] P '= 3P [/tex]

Where,

P: perimeter of the original square.

Therefore, we can conclude that the perimeter is tripled.

Answer:

The perimeter of the square is tripled.

[tex] P '= 3P [/tex]