Answer
171 packages
Work Step by Step
We are given that the ballroom is a square and has sides that each measure 64 feet. Therefore, we know that the area of the ballroom is $64^{2}=64\times64=4096$ feet.
The ballroom will require 4096 one-foot-square tiles, and each package contains 24 tiles.
$4096\div24\approx170.6667$
We can round up to 171 packages, since we will need to use at least some of the tiles in the 171st package.
