Map scale

The rectangular plot has a scale of 1: 10000 area 3 cm² on the map. What content does this plot have on a 1:5000 scale map?

Correct answer:

S₂ =  12 cm²

Step-by-step explanation:

$$\begin{gathered} S_1=3{\text{cm}}^2 \\ k=10000\mathrm{/}5000=2 \\ {S}_2=k^2\cdot S_1=2^2\cdot 3=12{\text{cm}}^2 \end{gathered}$$

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