On a map, the length of a nature-center trail is 8.2 centimeters. If the scale is 3 centimeters to 24 kilometers, what is the actual length of the trail.
24/3 = x/8.2
Solve for x.
The answer that I arrived at was 65.6 kilometers
Thaks for your help
To find the actual length of the trail, we need to use the given scale. The scale tells us that 3 centimeters on the map represents 24 kilometers in real life.
First, we can calculate the scale factor by dividing the real-life length by the map length:
Scale Factor = Real-life length / Map length
In this case, the scale factor can be found by dividing 24 kilometers by 3 centimeters:
Scale Factor = 24 km / 3 cm
Now, we can find the actual length of the trail by multiplying the map length by the scale factor:
Actual length = Map length * Scale Factor
Plugging in the given values, we have:
Actual length = 8.2 cm * (24 km / 3 cm)
Simplifying the equation, we have:
Actual length = 65.6 km
Therefore, the actual length of the nature-center trail is 65.6 kilometers.