Hřiště

The map scale is 1: 5000. The playground is rectangular and, on the map, has dimensions 4 cm and 2 cm.

What is the area of the playground in square meters in reality?

Correct answer:

S =  20000 m²

Step-by-step explanation:

$$\begin{gathered} a=4\text{cm}\to \text{m}=4:100\text{m}=0.04\text{m} \\ b=2\text{cm}\to \text{m}=2:100\text{m}=0.02\text{m} \\ M=5000 \\ x=a\cdot M=0.04\cdot 5000=200\text{m} \\ y=b\cdot M=0.02\cdot 5000=100\text{m} \\ S=x\cdot y=200\cdot 100=20000{\text{m}}^2 \end{gathered}$$

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