A map is drawn to the scale of 2cm= 5km. What is the actual distance between the two cities if they are 7.4 cm apart on the map?
2cm : 5km = 7.4cm : x km
2x = 37
x = 37/2
x = 18.5 km
the map distance from state college to belmont is 2 cm what is actual distance between the two locations
To find the actual distance between the two cities, we can use the given scale of 2cm = 5km.
First, we need to determine the distance represented by 1 cm on the map:
1 cm on the map represents (5 km) / (2 cm) = 2.5 km
Then, we can find the actual distance between the two cities:
Actual distance = (Distance on the map) × (Distance represented by 1 cm)
= 7.4 cm × 2.5 km/cm
= 18.5 km
Therefore, the actual distance between the two cities is 18.5 km.
To find the actual distance between the two cities, we need to use the scale given on the map. The scale states that 2 cm on the map represents 5 km in reality.
First, we can determine the scale factor by dividing the real distance represented by 1 cm on the map (5km) by the length of 1 cm on the map.
Scale factor = (Real distance represented by 1 cm on the map) / (Length of 1 cm on the map)
Scale factor = 5 km / 2 cm
Scale factor = 2.5 km/cm
With the scale factor, we can now find the actual distance between the two cities. Given that the cities are 7.4 cm apart on the map, we can multiply this by the scale factor:
Actual distance = (Length on the map) x (Scale factor)
Actual distance = 7.4 cm x 2.5 km/cm
Actual distance = 18.5 km
Therefore, the actual distance between the two cities is 18.5 km.