Answer:
[tex]187.74\:\mathrm{cm}[/tex]
Step-by-step explanation:
The area of a rectangle is given by [tex]l\cdot w[/tex]. Therefore, we can set up the following inequality:
[tex]l\cdot 16 \leq 3,003.84[/tex].
Solving this inequality, we have:
[tex]l \leq 187.74[/tex].
Therefore, the largest length Carmen's painting can be is [tex]\fbox{$187.74\:\mathrm{cm}$}[/tex].
