Question 1111172
.
            True.



There is the statement / (theorem)


<pre>
    A rectangle with the given perimeter  P  having the maximum area  is  A SQUARE 
</pre>

and the side of this square is obviously  &nbsp;{{{P/4}}},  &nbsp;one fourth of the given perimeter.



It is exactly what the given equation  says:  &nbsp;&nbsp;{{{P^2/16}}} &nbsp;= &nbsp;{{{(P/4)^2}}}.



Regarding the STATEMENT and its proof, &nbsp;see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/A-rectangle-with-the-given-perimeter-which-has-the-maximal-area-is-a-square.lesson>A rectangle with a given perimeter which has the maximal area is a square</A>

in this site.


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lesson is the part of this textbook under the topic "<U>Finding minimum/maximum of quadratic functions</U>". 



Save the link to this online textbook together with its description


Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson


to your archive and use it when it is needed.