Fence and scale

The garden with 80 m of fencing is draw on plan as a square with a side length of 4 cm. At what scale is this plan made?

Result

M = (Correct answer is: 1:500)

Step-by-step explanation:

$$\begin{gathered} o=80\text{ m } \\ {a}_2=4\mathrm{/}100={\displaystyle \frac{1}{25}}=0.04\text{ m } \\ {o}_2=4\cdot a_2=4\cdot 0.04={\displaystyle \frac{4}{25}}=0.16\text{ m } \\ m=o\mathrm{/}{o}_2=80\mathrm{/}0.16=500 \\ M=1:500 \end{gathered}$$

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