Map scale

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

Result

S2 =  12 cm2

Solution:

S1=3 cm2 k=10000/5000=2  S2=k2 S1=22 3=12=12 cm2S_{ 1 } = 3 \ cm^2 \ \\ k = 10000/5000 = 2 \ \\ \ \\ S_{ 2 } = k^2 \cdot \ S_{ 1 } = 2^2 \cdot \ 3 = 12 = 12 \ cm^2



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