SOLUTION: Suppose you had a long stretch of fencing with which to make a nice big playpen for your new puppy. If you wanted to give your puppy the biggest possible area to roam around in, w

Question 761966: Suppose you had a long stretch of fencing with which to make a nice big playpen for your new puppy. If you wanted to give your puppy the biggest possible area to roam around in, what shape should the fence be? Support your answer with sufficient data
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
It must be a square shape
Let the sides = and
Let = area
Let = perimeter

Suppose you have units of fencing.
The units can be anything.
Now I can say

By substitution:

If you plot on the vertical axis and
on the horizontal, this is a parabola
The maximum is at
where the equation has the form

and, since

Both length and width are 25, so is a square

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