Square diagonal

Calculate the length of the square diagonal if the perimeter is 172 cm.

Correct result:

d =  60.81 cm

Solution:

$$\begin{gathered} o=172\text{ cm } \\ o=4a \\ a=o\mathrm{/}4=172\mathrm{/}4=43\text{ cm } \\ {d}^2=a^2+a^2=43^2+43^2=3698 \\ d=\sqrt{2}\cdot a=\sqrt{2}\cdot 43=43\sqrt{2}=60.81\text{ cm} \end{gathered}$$

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