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The Folding Ruler #2 (Posted on 2024-07-08) Difficulty: 3 of 5
Alex owns one of those folding rulers where each segment is exactly 1 foot long. While playing with the open ruler he formed it into a triangle. Then he refolded it into a second triangle with double the area. Next he refolded it into a third triangle with triple the area.

What is the smallest possible length of the ruler?

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: solution Comment 2 of 2 |
(In reply to solution by Charlie)

The program did not allow for rounding error in doing comparisons. The following two lines were left out as a result, both in the triple area:

  3.992179855667828  11.976539567003485      1   8   8   4   6   7     17
  9.921567416492215  29.764702249476645      2  11  12   8   8   9     25

This does not affect the answer as 17- and 25- foot rulers do not occur in the double area.


  Posted by Charlie on 2024-07-08 09:47:29
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