Question

Гоша и Лена нарисовали карты одного и того же объекта. Размеры карты Гоши равны 72 см ⨉ 54 см, и она имеет форму прямоугольника с масштабом 1 см : 0,2 км. Карта Лены меньше, и ее размеры равны 24 см ⨉ 18 см. Расстояние между точками А и В на карте Гоши равно 6 см. Какое расстояние между этими точками на карте Лены?Реальное расстояние между городами А и В равно 12 км. Какое расстояние между ними на карте Гоши?УпражнениеРеальное расстояние между городами А и В равно 12 км. Какое расстояние между ними на карте Лены?​

Answer 1

Ответ:

Пошаговое объяснение:

1. Масштаб карты Лены 1см÷0,6км. 2.Расстояние между точками А и Б на карте Лены 2 см. 3.Расстояние между городами на карте Гоши 60см. 4. На карте Лены 20см.

Answer 2

To find the distances on the maps drawn by Gosha and Lena, we need to consider the scale of each map. The scale of a map represents the relationship between the distances on the map and the actual distances in the real world.

Scale of Gosha's Map:

Gosha's map has a scale of 1 cm : 0.2 km. This means that 1 centimeter on the map represents 0.2 kilometers in the real world.

Scale of Lena's Map:

Lena's map does not provide a specific scale, but we can calculate it based on the given information. The dimensions of Lena's map are 24 cm x 18 cm, while the dimensions of Gosha's map are 72 cm x 54 cm. Since Lena's map is smaller, we can calculate the scale by comparing the dimensions of the two maps.

The scale factor can be calculated as follows: ``` Scale factor = (Length of Lena's map) / (Length of Gosha's map) = 24 cm / 72 cm = 1/3 ```

Therefore, the scale of Lena's map is 1 cm : (1/3) km, which means that 1 centimeter on Lena's map represents (1/3) kilometers in the real world.

Distance between Points A and B on Gosha's Map:

On Gosha's map, the distance between points A and B is given as 6 cm. To find the real-world distance between these points, we can use the scale of Gosha's map.

Using the scale of 1 cm : 0.2 km, we can calculate the real-world distance as follows: ``` Real-world distance = (Distance on Gosha's map) * (Scale factor) = 6 cm * 0.2 km/cm = 1.2 km ```

Therefore, the real-world distance between points A and B is 1.2 kilometers.

Distance between Points A and B on Lena's Map:

To find the distance between points A and B on Lena's map, we can use the scale of Lena's map.

Using the scale of 1 cm : (1/3) km, we can calculate the distance as follows: ``` Distance on Lena's map = (Real-world distance) / (Scale factor) = 1.2 km / (1/3) km/cm = 1.2 km * 3 cm/km = 3.6 cm ```

Therefore, the distance between points A and B on Lena's map is 3.6 centimeters.

Distance between Points A and B in the Real World on Lena's Map:

To find the real-world distance between points A and B on Lena's map, we can use the scale of Lena's map.

Using the scale of 1 cm : (1/3) km, we can calculate the real-world distance as follows: ``` Real-world distance = (Distance on Lena's map) * (Scale factor) = 3.6 cm * (1/3) km/cm = 1.2 km ```

Therefore, the real-world distance between points A and B on Lena's map is 1.2 kilometers.

I hope this helps! Let me know if you have any further questions.