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A toy is being constructed in the shape of a pyramid. The maximum amount of material to cover the sides and bottom of the pyramid is 250 square centimeters. The height of the toy is double the side length. What are the maximum dimensions to the nearest square centimeter for a square base and for a hexagonal base?
\begin{tabular}{|c|c|c|} \hline Shape of Base & Side Length & Height \\ \hline square & [tex]$\square$[/tex] cm & [tex]$\square$[/tex] cm \\ \hline regular hexagon & [tex]$\square$[/tex] cm & [tex]$\square$[/tex] cm \\ \hline \end{tabular}
\begin{tabular}{|c|c|c|} \hline Shape of Base & Side Length & Height \\ \hline square & 7 cm & 14 cm \\ \hline regular hexagon & 5 cm & 11 cm \\ \hline \end{tabular}
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