SOLUTION: Please help me in answering this question: The maximum area of a rectangle with fixed perimeter p is (p^2/16)= true/false

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Question 1111172: Please help me in answering this question: The maximum area of a rectangle with fixed perimeter p is (p^2/16)= true/false
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
            True.


There is the statement / (theorem) 

    A rectangle with the given perimeter  P  having the maximum area  is  A SQUARE

and the side of this square is obviously  P%2F4,  one fourth of the given perimeter.


It is exactly what the given equation says:   P%5E2%2F16  =  %28P%2F4%29%5E2.


Regarding the STATEMENT and its proof,  see the lesson
    - A rectangle with a given perimeter which has the maximal area is a square
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

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


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.