Answer:
Parabola [tex]P^{2}[/tex] = 16A
Non-linear function.
Increasing function.
Step-by-step explanation:
Let a be the side length of a square ,
Then, Perimeter of square (P) = 4a
So, a can be written as a = [tex]\frac{P}{4}[/tex]
Area of square (A) = [tex]a^{2}[/tex] .
So, A = [tex]\frac{P^{2} }{4^{2} }[/tex]
    =  [tex]\frac{P^{2} }{16 }[/tex]
[tex]P^{2}[/tex] = 16A
It is the equation of parabola. (similar to [tex]y^{2}[/tex] = 4ax)
It is a non - linear function as square of Perimeter is related to Area , not directly Perimeter.
Also, it is a increasing function since as A increases P increases.
