Delta math answers hack
Maximum perimeter for a given area
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We can arrive to this formula by constructing a sequence of distribution $\delta_n(x)$, such that: $$\lim_{n\rightarrow\infty}\int^\infty_{-\infty}\delta_n(x-a)f(x)dx = f(a)$$ Then the limit of the sequence is $\delta(x)$, i.e. $$\lim_{n\rightarrow\infty}\delta_n(x) = \delta(x)$$