The area of Carlton Garden is 96 square feet.
The width of the garden is 8 feet
We are asked to find the length of fencing Carlton would need to fence around the garden.
Recall that the area of a rectangular shape is given by
[tex]A=L\cdot W[/tex]Where L is the length and W is the width.
Let us substitute the values of area and width into the above formula
[tex]\begin{gathered} A=L\cdot W \\ 96=L\cdot8 \\ L=\frac{96}{8} \\ L=12\: ft \end{gathered}[/tex]Therefore, the length of fencing Carlton would need to fence around the garden is 12 feet.