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Please help!!!

a map ratio is 1:50 000. Two villages are 8km apart. How far apart are they on the map?

User Jinah Adam
by
4.2k points

1 Answer

5 votes

Answer: 16 cm

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Step-by-step explanation:

It appears that the map is using centimeters since the village distance is mentioned in kilometers.

The ratio 1:50,000 would then mean 1 cm on paper corresponds to 50,000 cm in real life. Divide by 100,000 to convert from cm to km.

50,000 cm = (50,000)/(100,000) = 0.5 km

This says 1 cm on paper refers to 0.5 km in real life.

Now we have the following steps

1 cm : 0.5 km

16*(1 cm) : 16*(0.5 km)

16 cm : 8 km

Therefore, 16 cm on paper refers to 8 km in real life.

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A slight alternative

(1 cm on paper)/(0.5 km in real life) = (x cm on paper)/(8 km in real life)

1/0.5 = x/8

1*8 = 0.5*x

0.5x = 8

x = 8/0.5

x = 16 cm on paper corresponds to 8 km in real life.

User Tarek Noaman
by
4.0k points