On a map the length of a nature- center trail is 4.6 centimeters. If the scale is 2 centimeters to 30 kilometers. What is the actual length of the trail.
Cross multiply and solve for x.
4.6/x = 2/30
Or --
1 cm = 15 km
4.6 cm * 15 = ?
To find the actual length of the trail, we'll use the given scale. The scale tells us that 2 centimeters on the map represent 30 kilometers in real life.
First, we need to determine the ratio of centimeters to kilometers. We can do this by dividing the centimeters on the map by the centimeters represented in real life:
Ratio = Centimeters on the map / Centimeters in real life = 2 cm / 30 km
Now, we can use this ratio to find the actual length of the trail. We'll set up a proportion using the given length on the map (4.6 centimeters) and the ratio we obtained:
Actual length of the trail / 4.6 cm = 30 km / 2 cm
To solve for the actual length of the trail, we'll cross-multiply and divide:
Actual length of the trail = (4.6 cm * 30 km) / 2 cm
Simplifying:
Actual length of the trail = (138 km * cm) / 2 cm
Actual length of the trail = 69 kilometers
Therefore, the actual length of the trail is 69 kilometers.