A regular hexagon is dilated by a scale factor of frac{4}{3} to create a new hexagon. How does the perimeter of the new hexagon compare with the original perimeter?

When a figure is dilated by a scale factor of a/b, then the new perimeter is a/b of the original perimeter and the new area is ${\displaystyle \frac{a^2}{b^2}}$ of the original area.
Therefore, if the hexagon is dilated by a scale factor of ${\displaystyle \frac{4}{3}}$, then the new perimeter is ${\displaystyle \frac{4}{3}}$ of the original perimeter.