# Hollow rectangle at the edge!

A rectangular frame of a uniform density is placed on a table so that its edges are parallel to the table's edges, and only one corner of the frame is on the table. Let $$A$$ be the area contained by the frame that is not over the table, and let $$B$$ be the area contained by the frame that is over the table.

What is the maximum ratio of area $$\frac{A}{B}$$ for which the frame will not fall off the table?

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