SOLUTION: I need help with a word problem: If you have 50 feet of fence, What shape would be best to maximize the most roaming area for your new puppy. Not sure how to figure this one out.

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Question 71292: I need help with a word problem:
If you have 50 feet of fence, What shape would be best to maximize the most roaming area for your new puppy. Not sure how to figure this one out. Can you please help!!
Found 2 solutions by checkley75, sudhir:
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
THE MAXIMUM SPACE FOR THIS PROBLEM IS A CIRCLE.
FIRST WE FIND THE RADIUS OF THE CIRCLE USING THE CIRCUMFERANCE FORMULA:
C=2PIR
50=2*3.14*R
50=6.28R
R=50/6.28
R=7.96 FEET
NOW WE USE THE AREA FORMULA:
A=PIR^2
A=3.14*7.96^2
A=3.14*63.36
A=198.955 SQUARE FEET.

Answer by sudhir(14) About Me  (Show Source):
You can put this solution on YOUR website!
The answer is "circular" as a circular circumference encloses the maximum area for a given perimeter when compared to other 2-D figures.
Similarly a sphere encloses the maximum volume for a given surface area when compared to other 3-D figures.