Question

5. The students are trying to determine the distance between two particular

adies by using a map. The map key indicates that 4.5 cm is equivalent to 75
um If the oties are 12.7 cm apart on the map, what is the actua distance
between the cities?

Answer 1

The actual distance between the cities is 211.67 cm.

Explanation:

Given:

The map key indicates that 4.5 cm is equivalent to 75 cm.

Now, to find the actual distance between the cities if the cities are 12.7 cm apart on the map.

Let the actual distance be
`x`.

So, we set a proportion to find the actual distance:

4.5:12.7 = 75:x.

Changing into fractions.

`(4.5)/(12.7) =(75)/(x)`

By cross multiplication we get:

`4.5x=952.5`

Dividing both sides by 4.5 we get:

`x=211.67`

Therefore, the actual distance between the cities is 211.67 cm.