SOLUTION: 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
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If I want the rabbits to have as much room as possible, how long would each of the sides be
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Question 1066265: 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? Answer by ikleyn(53937) (Show Source):
You can put this solution on YOUR website! .
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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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 = 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 = 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.
