Question

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

Answer 1

Answer:

2 km

Step-by-step explanation:

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

We know $\frac{map}{real world}=\frac{2cm}{5 kilometers}$.

We also know the path is $\frac{0.8cm}{x kilometers}$.

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

$\frac{0.8cm}{x kilometers}=\frac{2cm}{5 kilometers}$.

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

0.8(5)=x(2)

4=2x

2=x

Answer 2

Your answer would be 2km.

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!