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

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) (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 , one fourth of the given perimeter.

It is exactly what the given equation says:    = .

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.

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