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Enclosed area (Posted on 2002-06-03) Difficulty: 3 of 5
What is the maximum area that could be enclosed by a piece of string 132 cm long? What shape would that area take?

What is the minimum area that could be enclosed by the same string? What shape will it take?

See The Solution Submitted by Dulanjana    
Rating: 2.9091 (11 votes)

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Solution 2.0 | Comment 2 of 13 |
Depends on what you mean by "enclosed". If you draw the string into a cube, it will be 11 cm on a side for a total "enclosed" surface area that is infinite. If you restrict yourself to 2 dimensions, you can make a circle enclosing 1386.6 cm^2. The minimum is of course 0: a line is 1-dimensional!
  Posted by Brock Arnason on 2002-06-03 10:14:41
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