Since the area of a rectangle is given by the product of the length and its width:
[tex]A=w\times l[/tex]And we know that A=144 and w=9, then:
[tex]144=9l[/tex]Divide both sides by 9 to find the value of the length:
[tex]\begin{gathered} l=\frac{144}{9} \\ l=16 \end{gathered}[/tex]Therefore, the length of the rectangle is:
[tex]16in[/tex]