If a map has a scale where 6 cm represents 8 km, using proportion, the actual distance in km that 8 cm represents is: 10.7 km.
Given the following:
- Scale of map: 6 cm represents 8 km
Required:
Actual distance that 8 cm on the map represents.
We would apply our knowledge of proportion to solve this problem as follows:
Let x represent the actual distance we are looking.
- Thus, the following proportion can be made:
6 cm = 8 km
8 cm = x km
[tex]x = \frac{8 \times 8}{6} \\\\x = 10.7 $ km[/tex]
Therefore, if a map has a scale where 6 cm represents 8 km, using proportion, the actual distance in km that 8 cm represents is: 10.7 km.
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