Using the scale 1:200, calculate the real-life distance represented by 8.2 cm on the map. Then, calculate the real-life distance represented by 15 cm on the map in meters. Lastly, calculate the map di

A scale of $1:200$ means that 1 cm on the map represents 200 cm in real life.

The real-life measurement is $\boxed{\text{1640 cm}}$.

4.1.2

($1 \text{ m} = 100 \text{ cm}$)

The real-life measurement is $\boxed{\text{30 m}}$.

4.1.3

The measurement on the map is $\boxed{\text{7 cm}}$.

4.2.1
A scale of "$1:50 \ 000$" means that one unit of distance on the map represents $50 \ 000$ of the same units of distance in real life. For example, 1 cm on the map represents $50 \ 000$ cm in real life.

4.2.2

($1 \text{ km} = 1000 \text{ m}$)

($1 \text{ m} = 100 \text{ cm}$)

4 km is equal to $\boxed{\text{400 000 cm}}$.

4.2.3

The distance on the topographical map will be $\boxed{\text{8 cm}}$.

4.2.4

($1 \text{ km} = 100 \ 000 \text{ cm}$)

A measurement of 17 cm on the map will be equal to $\boxed{\text{8.5 km}}$ in real life.