The scale on a map is 4 cm:200 km. What distance is represented by a 6.2 cm segment on the map?(Enter the number only with no km units in the blank.)
Question
The scale on a map is 4 cm:200 km. What distance is represented by a 6.2 cm segment on the map?(Enter the number only with no km units in the blank.)
Solution 1
First, you need to understand the scale. The scale is saying that 4 cm on the map is equal to 200 km in real life.
Next, you need to set up a proportion to find out what distance 6.2 cm on the map represents in real life.
The proportion is 4 cm/200 km = 6.2 cm/x km.
To solve for x, you can cross multiply and divide.
First, multiply 4 cm by x and 200 km by 6.2 cm.
That gives you 4x = 1240.
Then, divide both sides by 4 to solve for x.
x = 1240 / 4 = 310.
So, a 6.2 cm segment on the map represents 310 km in real life.
Solution 2
First, you need to understand the scale. The scale is saying that 4 cm on the map is equal to 200 km in real life.
Next, you need to find out what 1 cm on the map would represent in real life. To do this, divide the real life distance (200 km) by the map distance (4 cm).
200 km / 4 cm = 50 km/cm
This means that 1 cm on the map is equal to 50 km in real life.
Finally, to find out what 6.2 cm on the map would represent in real life, multiply the real life distance per cm (50 km/cm) by the map distance (6.2 cm).
50 km/cm * 6.2 cm = 310 km
So, a 6.2 cm segment on the map represents 310 km in real life.
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