Question

The map of a wilderness area shows that 4cm represents 5km. The camp store is 10cm from the beach on the map. How far apart are the camp store and the beach in kilometers?

Answer 1

Using the scale provided on the wilderness area map, where 4 cm represents 5 km, the camp store is found to be 12.5 kilometers away from the beach when measured as 10 cm on the map.

Step-by-step explanation:

The map of a wilderness area shows that 4cm on the map represents an actual distance of 5km in reality. To find out how far the camp store is from the beach in kilometers, we use this scale to calculate the actual distance. The camp store is 10cm from the beach on the map. We can set up a proportion to find the actual distance:

1. First, write the unit scale as a ratio: 4 cm / 5 km.
2. Set up the proportion with the map distance and find the real-world distance:
(4 cm / 5 km) = (10 cm / x km)
3. Solve for x:
x = (10 cm * 5 km) / 4 cm
x = 50 cm km / 4 cm
x = 12.5 km

The camp store and the beach are 12.5 kilometers apart.