Question

on the scale of a map 4 cm represent 20 km if the distance between two points is 10 cm what is the actual distance between this points​

Answer 1

50 km

Explanation:

Given

`r = 4cm : 20km` -- Scale ratio

Required

Actual representation of 10cm

Let the actual measurement be x.

So, we have:

`r =10cm:x`

Equate both value s of r

`10cm : x = 4cm : 20km`

Express as fraction

`(x)/(10cm ) =(20km)/(4cm)`

Multiply by 10cm

`10cm * (x)/(10cm ) =(20km)/(4cm) *10cm`

`x =(20km)/(4) *10`

`x =5km *10`

`x =50\ km`