Steps

How many steps do you save by walking diagonally across a square plot instead of walking along two of its sides, if the full perimeter takes 458 steps?

Final Answer:

x =  134.1

Step-by-step explanation:

$$\begin{gathered} n=458 \\ a=n/2=458/2=229 \\ {d}^2=a^2+a^2 \\ {d}^2=2a^2 \\ d=\sqrt{2}\cdot a=\sqrt{2}\cdot 229=229\sqrt{2}\doteq 323.8549 \\ x=n-d=458-323.8549=134.1 \end{gathered}$$

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