Each side of the base is nine centimeters long.
The formula for the area of a square pyramid with side-length s and height h is [tex]\frac{s^2h}{3}[/tex], so we have that [tex]\frac{11s^2}{3} = 297[/tex]. Multiplying by 3/11, we see that [tex]s^2 = 81[/tex], so, since s must be positive, we have [tex]s=9[/tex]. This means that the side-length of the pyramid is nine centimeters.
