the scale on a map is 1:2500, a pond on a map has a perimeter of 12cm, how far have you actually walked

12 cm = .12 m

.12 * 2500 = 300 meters or 0.3 kilometers

To determine how far you have actually walked based on the given map scale of 1:2500, you need to establish the relationship between the measurements on the map and the corresponding real-world distances.

First, convert the perimeter of the pond on the map from centimeters (cm) to the corresponding measurement in real-world units. To do this, multiply the perimeter by the map scale factor:

Real-world perimeter = Perimeter on map x Map scale factor
Real-world perimeter = 12 cm x 2500
Real-world perimeter = 30000 cm

Now, you have the real-world perimeter of the pond, which is 30000 centimeters.

Since you are interested in the distance you have actually walked, the distance will be equal to the perimeter of the pond. Hence, the distance you have walked is 30,000 centimeters.