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To find:
The formula for the length, l, of the rectangle.
Solution:
The perimeter of the rectangle is given by P = 2w + 2l.
Now, we have to isolate l and solve:
[tex]\begin{gathered} P=2w+2l \\ P-2w=2l \\ \frac{1}{2}P-w=l \end{gathered}[/tex]Thus, the first option is correct.