On a map, the length of a nature-center trail is 10.8 centimeters. If the scale is 3 centimeters to 20 kilometers, what is the actual length of the trail.
3 cm ---> 20 km
1 cm ---> 20/3 km
10.8 cm --- (20/3)(10.8) km = .....
i don't understand your answer to my ?
my last line ....
10.8 cm = (20/3)(10.8) = 72 km
or
set up a ratio:
L/10.8 = 20/3
L = 10.8(20/3) = 72
To determine the actual length of the nature-center trail, we need to use the given scale. The scale indicates that 3 centimeters on the map represents 20 kilometers in real life.
First, let's find how many units (3 cm segments) are needed to represent the length of the trail on the map. Since each 3 cm segment represents 20 km, we can set up the following proportion:
3 cm/20 km = 10.8 cm/x km
To solve for x (the actual length of the trail in kilometers), we can use cross-multiplication:
3 cm * x km = 10.8 cm * 20 km
3x = 216
Now, divide both sides of the equation by 3 to solve for x:
x = 72
Therefore, the actual length of the nature-center trail is 72 kilometers.