In a rectangle, which has width and length, the formula to find the area is:
[tex]A=l\cdot w[/tex]where A is the area, l is the length and w is the width.
Since we are asked to find the length, we solve for l in the previous equation by dividing both sides by w:
[tex]\frac{A}{w}=l[/tex]We know the Area A and the width w:
[tex]\begin{gathered} A=1032ft^2 \\ w=12ft \end{gathered}[/tex]So we substitute these values into the equation to find l:
[tex]\begin{gathered} \frac{1032ft^2}{12ft}=l \\ 86ft=l \end{gathered}[/tex]And thus, we have found that the length of the rectangle is 86 ft.
Answer: 86 ft