A map has a scale of 1 cm : 20 km. Two cities are 2.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?

Question

Avery Alexander · Accepted Answer

50 km

So the map has a scale of 1 cm: 20 km. Next, you look at how far they are apart and see if the scale and the distance on the map are the same measurement. In this case, they are both centimeters so they stay the same. Then, all you do is multiple the real size, 20 km, by #2.5/1#. Then, 20 x 2.5=50. So the answer is 50 km

Eva Abramson · Answer

undefined To find the actual distance corresponding to the map distance, we use the scale of the map, which is 1 cm representing 20 km.

First, we need to determine the actual distance corresponding to 2.5 cm on the map:

$$ \text{Actual distance} = \text{Map distance} \times \text{Scale} $$

$$ \text{Actual distance} = 2.5 \, \text{cm} \times 20 \, \text{km/cm} $$

$$ \text{Actual distance} = 50 \, \text{km} $$

So, the actual distance corresponding to 2.5 cm on the map is 50 km.