A map has a scale of 2cm to 5km. How long is a path that measure 0.8 on the map?

We can write the scale as a ratio of 2cm:5km. Then we need to find out how much we multiply 2 by to get 0.8cm, by dividing 0.8 by 2. This gives us 0.4.

Then, we can multiply 0.4 by 5 on the other side of the ratio, to get the ratio as 0.8:2, so 2km is your answer.

I hope this helps!

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MrsStrong MrsStrong · Answer 2 · 2019-01-08T23:01:59+01:00

Answer:

2 km

Step-by-step explanation:

To use the scale, we write a ratio of [tex]\frac{map}{real world}[/tex] and simplify.

We know [tex]\frac{map}{real world}=\frac{2cm}{5 kilometers}[/tex].

We also know the path is [tex]\frac{0.8cm}{x kilometers}[/tex].

To find the unknown value, we set the ratios equal and solve by ross multiplying.

[tex]\frac{0.8cm}{x kilometers}=\frac{2cm}{5 kilometers}[/tex].

We cross multiply by multiplying numerator and denominator of opposite fractions.

0.8(5)=x(2)

4=2x

2=x