The area when two circles square off

Can you solve for the area of the square and the length of the tangent line? Special thanks this month to Fiona Harper, Kyle, Mike Robertson, Michael Anvari, Robert Zarnke. Thanks to all supporters on Patreon! http://www.patreon.com/mindyourdecisions

Adapted from a puzzle by Twitter @Cshearer41 (Catriona Agg)

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