In a rectangle, which has width and length, the formula to find the area is:
![A=l\cdot w](https://img.qammunity.org/2023/formulas/mathematics/high-school/czdrip2qi4fvur9c8tlj02ezx7mv0rha9f.png)
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:
![(A)/(w)=l](https://img.qammunity.org/2023/formulas/mathematics/college/j7czzkim78k5ubq842763rrp5g3glyh8zr.png)
We know the Area A and the width w:
![\begin{gathered} A=1032ft^2 \\ w=12ft \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/o7byafdwy28zrmusdc68yhfiq123sd3swn.png)
So we substitute these values into the equation to find l:
![\begin{gathered} (1032ft^2)/(12ft)=l \\ 86ft=l \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/79r7zf3iwx8rsp54o9ix03jy8dwx8lhcg2.png)
And thus, we have found that the length of the rectangle is 86 ft.
Answer: 86 ft