this post was submitted on 15 Feb 2025
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Daily Maths Challenges
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Does the entire boundary have to be made of the mesh? Especially relevant if this is for practical use rather than just a challenge since you could use e.g. two existing corners in a rectangular yard: cut the mesh in half, and use 5m to close off each corner. Making isosceles triangles out of each corner with the two equal length sides having length sqrt(25/2) ~= 3.535m gives areas of 6.25 sq. meters for each rabbit.
You could do even better if you happened to already have 3 walls of the appropriate lengths to partition off an area in as well... e.g. 2.5m x 5m = 12.5 sq m. for each rabbit if you have a rectangular yard surrounded by an existing wall where the back wall is 5m long and the other two sides are at least 2.5m long. That configuration is less likely for someone to already actually have though.
In my case, yes, because I don't have much to attach the mesh wire to.