Question

2.
A map has a scale of 1 cm : 11.5 km. Two cities are 5.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?

Answer 1

To find the actual distance between the two cities based on the map's scale, we can use the scale provided:

1 cm on the map corresponds to 11.5 km in reality.

Given that the two cities are 5.5 cm apart on the map, we can calculate the actual distance as follows:

\[
\text{Actual Distance} = \text{Map Distance} \times \text{Scale Factor}
\]

Substituting the values we have:

\[
\text{Actual Distance} = 5.5 \, \text{cm} \times 11.5 \, \text{km/cm}
\]

Calculating the product:

\[
\text{Actual Distance} = 5.5 \times 11.5 = 63.25 \, \text{km}
\]

Now, we need to round this to the nearest tenth of a kilometer:

\[
\text{Actual Distance} \approx 63.3 \, \text{km}
\]

Therefore, the actual distance corresponding to the 5.5 cm map distance is approximately **63.3 km**.