Question

The distance on a map is 4.5 cm. The scale of the map is 1 : 1000. What is the actual distance?. Single choice.

Answer 1

Actual distance is 4500 cm (45 m).

Explanation:

A scale is a representative fraction that can be used to either increase or decrease proportionally the dimension of a given object.

scale =
`(distance on map)/(actual distance)`

It is in the form of a ratio.

From the question, Distance on map = 4.5 cm,

scale = 1 : 1000

=
`(1)/(1000)`

scale =
`(distance on map)/(actual distance)`

Let the actual distance be represented by d.

So that,

`(1)/(1000)` =
`(4.5)/(d)`

⇒ d = 4.5 x 1000

= 4500

d = 4500

The actual distance is 4500 cm (45 m).