I need to write an solve an inequality that describes the width of the lot in terms of w

Given:
The length of the rectangle is 50 yards. The perimeter is less than 180 yards.
Required:
Write the solution inequality in terms of width w.
Explanation:
Let the width of the rectangle is w.
The perimeter of the rectangle is given by the formula:
[tex]P=2(length+width)[/tex][tex]\begin{gathered} 2(50+w)<180 \\ 50+w<90 \\ w<90-50 \\ w<40 \end{gathered}[/tex]Final Answer:
The first option is the correct answer.