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?
The shortest ruler for doing both doubling and tripling is the 32-foot model, which can double or triple the area of an original 2-15-15 triangle, by making an 8-9
-15 triangle and a 9-10-13 triangle respectively.
For an explanation, refer to the solution submitted by Charlie in this location., and the rejoinder in this location.
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