on a map, the length of a nature center trail is 9.5 cm. if the scale is 2 cm to 14 kilometers, what is the actual length of the trail.
9.5/2 = x/14
Solve for x.
To find the actual length of the trail, we can set up a proportion using the scale provided.
The scale is 2 cm to 14 kilometers, so we can write the proportion as:
2 cm / 14 km = 9.5 cm / x km
To find x, we can cross-multiply and solve for x:
2 cm * x km = 14 km * 9.5 cm
2x = 133 km * cm
Dividing both sides by 2:
x = 133 km * cm / 2
Simplifying:
x = 66.5 km * cm
Therefore, the actual length of the trail is 66.5 kilometers.
To find the actual length of the nature center trail, you can use the given scale on the map.
First, let's figure out the conversion factor from centimeters to kilometers using the scale ratio provided: 2 cm represents 14 kilometers.
Divide the actual length of 9.5 cm by the scale factor of 2 cm to find the number of scale units:
9.5 cm ÷ 2 cm = 4.75 scale units
Now, multiply the number of scale units by the scale ratio of 14 kilometers to find the actual length of the trail:
4.75 scale units × 14 kilometers = 66.5 kilometers
Therefore, the actual length of the nature center trail is 66.5 kilometers.