# Geometry?

**Geometry**Level 5

Find the minimum value of

\[\sqrt{x^2+(20-y)^2}+\sqrt{y^2+(21-z)^2}+\sqrt{z^2+(20-w)^2}+\sqrt{w^2+(21-x)^2}.\]

Find the minimum value of

\[\sqrt{x^2+(20-y)^2}+\sqrt{y^2+(21-z)^2}+\sqrt{z^2+(20-w)^2}+\sqrt{w^2+(21-x)^2}.\]

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