Question 1066265
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I have 24 feet of fencing with which to build a rectangular rabbit pen to keep rabbits.
If I want the rabbits to have as much room as possible, how long would each of the sides be?
How long would each side be if I had only 16 feet of fencing?
How would you determine the pen with the most room for any amount of fencing?
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<pre>
A rectangle with the fixed perimeter which has the maximal area is a square.


Therefore, for the first case (24 feet of fencing) the maximal area is provided by a square with the side measure 
           of {{{24/4}}} = 6 ft and the area of 36 ft^2. 


For the second case (16 feet fencing) the maximal area is provided by a square with the side measure 
          of {{{16/4}}} = 4 ft and the area of 16 ft^2. 


For the third case/question, take the length of the fencing, divide it by 4 and get the side measure 
          of the square, which will give you the maximal area.
</pre>

All question are answered.



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, 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 lessons are the part of this online textbook under the topic "<U>Finding minimum/maximum of quadratic functions</U>".