Assuming by the measurements of the room that is it of rectangular shape.
Rectangle area formula = W ⋅ L
W = 16 ft and L = 22 ft
Area in foot = 16 ⋅ 22 = 352 ft
Converting feet to yard: 352 ft = 117.333 yd
Square yards of carpet needed ≈ 117 [tex]yd^{2}[/tex]