I need help please. On a map, the distance from brooksville to Smithsville is 4.3 centimeters. The map scale is 0.5 centimeter = 20 kilometers. What is the actual distance, in kilometers, from brooksville to smithsville?

Respuesta :

Answer:

The actual distance from Brooksville to Smithsville is 172 km.

Step-by-step explanation:

Given,

The map scale is 0.5 cm is equal to 20 km.

The distance from Brooksville to Smithsville on the map is 4.3 centimeters.

We have to find out the actual distance  from Brooksville to Smithsville.

Here we use the unitary method to find out the actual distance.

Solution,

[tex]Since\ on\ the\ map\ 0.5\ cm=20\ km\\\\\therefore\ on\ the\ map\ 1\ cm=\frac{20}{0.5}\\\\\therefore\ on\ the\ map\ 4.3\ cm=\frac{20}{0.5}\times4.3=40\times4.3=172\ km[/tex]

Hence The actual distance from Brooksville to Smithsville is 172 km.