The area of a rectangle is given by:
[tex]A=lw[/tex]where l is the length and w is the width. In this case we know that the area is 153 square ft and the width is 9 ft, plugging these values and solving for l we have:
[tex]\begin{gathered} 9l=153 \\ l=\frac{153}{9} \\ l=17 \end{gathered}[/tex]Therefore, the length of the shed is 17 ft.