# Chapter 2 - Section 2.3 - Formulas and Problem Solving - Exercise Set: 33

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.

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