[tex]\bf \textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=5\\ w=4\frac{5}{9}\\[0.8em] \qquad \frac{4\cdot 9+5}{9}\\[0.8em] \qquad \frac{41}{5} \end{cases}\implies A=5\cdot \cfrac{41}{5}\implies \stackrel{fraction}{A=\cfrac{41}{1}}\implies \stackrel{decimal}{A=41} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\bf \textit{perimeter of a rectangle}\\\\ A=2(L+w)\qquad \implies A=2\left(5+\cfrac{41}{5} \right) \implies A=2\left( \cfrac{25+41}{5} \right) \\\\\\ A=2\left( \cfrac{66}{5} \right)\implies A=\cfrac{132}{5}\implies \stackrel{fraction}{A=26\frac{2}{5}}\implies \stackrel{decimal}{A=26.4}[/tex]
