Map

Forest has an area of ​​77 ha. How much area is occupied by forest on the map at scale 1:10000?

Correct answer:

S =  77 cm2

Step-by-step explanation:

M=10000 A1=77 ha→ m2=77⋅ 10000  m2=770000 m2 A2=A1→ cm2=A1⋅ 10000  cm2=770000⋅ 10000  cm2=7700000000 cm2  S = a2 = (M⋅ b)2 S=A2M2=7700000000100002=77 cm2M = 10000 \ \\ A_{1} = 77 \ \text{ha} \rightarrow \ \text{m}^2 = 77 \cdot \ 10000 \ \ \text{m}^2 = 770000 \ \text{m}^2 \ \\ A_{2} = A_{1} \rightarrow \ \text{cm}^2 = A_{1} \cdot \ 10000 \ \ \text{cm}^2 = 770000 \cdot \ 10000 \ \ \text{cm}^2 = 7700000000 \ \text{cm}^2 \ \\ \ \\ S\ = \ a^2\ = \ (M \cdot \ b)^2 \ \\ S = \dfrac{ A_{2} }{ M^2 } = \dfrac{ 7700000000 }{ 10000^2 } = 77 \ \text{cm}^2

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