Question

Расстояние между двумя поселками на карте равно 4 см,а расстояние между этими поселками на местности равно 40 км. определите масштаб карты. С объяснением пожалуйста!!!!

Answer 1

40 км=4000000 см
Тогда масштаб карты
4:4000000=1:1000000

Answer 2

Determining the Scale of a Map

To determine the scale of a map, we need to compare the distance on the map to the actual distance on the ground. In this case, we are given that the distance between two villages on the map is 4 cm, while the actual distance between the villages on the ground is 40 km.

The scale of a map can be expressed in different ways, such as a representative fraction or a graphic scale. In this case, we will calculate the representative fraction.

Calculating the Representative Fraction

To calculate the representative fraction, we need to determine the ratio between the distance on the map and the corresponding distance on the ground.

Given: - Distance between villages on the map: 4 cm - Actual distance between villages on the ground: 40 km

To calculate the representative fraction, we can use the following formula:

Representative Fraction = Distance on Map / Corresponding Distance on Ground

Substituting the given values:

Representative Fraction = 4 cm / 40 km

Before we proceed with the calculation, we need to convert the units to ensure consistency. Let's convert the distance on the ground from kilometers to centimeters:

40 km = 40,000 meters = 4,000,000 centimeters

Now we can calculate the representative fraction:

Representative Fraction = 4 cm / 4,000,000 cm

Simplifying the fraction:

Representative Fraction = 1 / 1,000,000

Therefore, the representative fraction of the map is 1:1,000,000.

Conclusion

The scale of the map, based on the given information, is 1:1,000,000. This means that one unit of measurement on the map represents one million units of measurement on the ground.