\[\boxed{\mathbf{2.454}}\]
\[Формула\ площади\ \]
\[прямоугольника:\]
\[\mathbf{S = ab.}\]
\[\textbf{а)}\ a = 5\frac{1}{7};\ \ b = \frac{4}{9}:\]
\[S = 5\frac{1}{7} \cdot \frac{4}{9} = \frac{36}{7} \cdot \frac{4}{9} = \frac{16}{7} = 2\frac{2}{7}.\]
\[\textbf{б)}\ S = 19;\ \ a = 9\frac{1}{2}:\]
\[b = S\ :a = 19\ :9\frac{1}{2} = 19\ :\frac{19}{2} =\]
\[= 19 \cdot \frac{2}{19} = 2.\]