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 Cut Wire (Posted on 2005-05-20)
A piece of wire is to be cut into two pieces (one bent into the shape of a regular p-gon and the other a regular q-gon).

If

1) p = 2*q,
2) 2*perimeter(q-gon) = 3*perimeter(p-gon), and
3) the sum of the two areas is minimized;

then what is the value of q?

 See The Solution Submitted by Bractals No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 Jer & Charlie | Comment 3 of 6 |
` `
`I think you both are misinterpreting the problem(which is probably my problem). We have three restrictions:`
`1) p = 2*q2) 2*Perimeter(q-gon) = 3*Perimeter(p-gon)3) the sum of the areas is minimized`
`For each (p,q) pair (6,3), (8,4), (10,5), ...`
`I can cut the wire such that`
`A) Neither 2) nor 3) is satisfied,B) 2) is satisfied, but not 3),C) 3) is satisfied, but not 2),D) Both 2) and 3) are satisfied.`
`I want the pair or pairs where 2) and 3)are satisfied.`
`I do not want the pair that minimizes thesum of the areas for all pairs. `
` `

 Posted by Bractals on 2005-05-20 21:01:59

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