[tex]\boxed{W=2ft}[/tex]
A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. On the other hand, a rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:
[tex]V=L\times W\times H[/tex]
From the statement of the problem we know:
[tex]V=24ft^3 \\ \\ H=3ft \\ \\ W=W \\ \\ L=W+2[/tex]
So:
[tex]24=(W+2)(W)(3) \\ \\ 3W(W+2)=24 \\ \\ 3W^2+6W-24=0 \\ \\ From \ the \ Quadratic \ Formula: \\ \\ W_{12}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ W_{12}=\frac{-6 \pm \sqrt{6^2-4(3)(-24)}}{2(3)} \\ \\ W_{1}=2 \\ \\ W_{2}=-4[/tex]
Since we can't have negative distance, the only valid option is [tex]\boxed{W=2ft}[/tex]
