The scale on a map says that 6cm represents 8km What is the actual number of kilometers that is represented by 8cm

Respuesta :

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

  • Cross multiply

[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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