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Answer:
[tex]20.1\ \text{feet}[/tex]
Step-by-step explanation:
The given relation is
[tex]5x^2-2025=0[/tex]
where [tex]x[/tex] is the portion of walkway in which the person walks
Rearranging the equation we get
[tex]5x^2=2025\\\Rightarrow x^2=\dfrac{2025}{5}\\\Rightarrow x^2=405\\\Rightarrow x=\sqrt{405}\\\Rightarrow x=20.124\approx 20.1\ \text{feet}[/tex]
The length of the portion of the walkway labeled [tex]x[/tex] is [tex]20.1\ \text{feet}[/tex].