The scale on a map is 1:5000000
Two towns are 7cm apart on the map
Work out the actual distance between towns on the map

Respuesta :

Answer:

The actual distance between towns on the map is 350 kilometers

Step-by-step explanation:

we know that

The scale on the map is [tex]1:5,000,000[/tex]

That means

1 cm on the map represent 5,000,000 cm in the actual

Remember that

[tex]1\ km=1,000\ m[/tex]

[tex]1\ m=100\ cm[/tex]

[tex]1\ km=100,000\ cm[/tex]

Convert cm to Km

Divide by 100,000

[tex]5,000,000\ cm=5,000,000/100,000=50\ km[/tex]

so

[tex]1:5,000,000=\frac{1}{50}\ \frac{cm}{Km}[/tex]

That means

1 cm on the map represent 50 Km in the actual

so

7 cm apart on the map

Multiply by 50

[tex]7(50)=350\ Km[/tex]

therefore

The actual distance between towns on the map is 350 kilometers