At a wedding reception n guests have assembled into m groups to converse. (the groups are not necessarily equal sized.) The host is preparing m square cakes, each with an ornate ribbon adorning its perimeter, to serve to the m groups. No guest is allowed to have more than 25 cm^{2 of cake. Prove that no more than 20*sqrt(mn) cm of ribbon is needed to embellish the m cakes.}

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At a wedding reception

nguests have assembled intomgroups to converse. (the groups are not necessarily equal sized.) The host is preparingmsquare cakes, each with an ornate ribbon adorning its perimeter, to serve to themgroups. No guest is allowed to have more than 25 cm^{2 of cake. Prove that no more than 20*sqrt(mn) cm of ribbon is needed to embellish the m cakes.}## Share this post

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