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If you are given a triangular piece of wood with the following dimensions, $11\;cm,\;18\;cm\;$ and $\;20\;cm$, what is the area of that piece of wood to the nearest square cm?
$98.4\; sq.\; cm$
$150.8\; sq.\; cm$
$117.4\; sq.\; cm$
$178.3\; sq.\; cm$