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MAVERICK [17]
3 years ago
8

on a map with a scale 1:100,000 the distance between two cities is 12cm. what would be the distance between these two cities on

a different map with a scale 1:300,000?
Mathematics
2 answers:
navik [9.2K]3 years ago
8 0
First scale is 1 -> 100,000 each centimeter in map represent 100,000 in the real world.  If you have 12 cm, in reality the distance is (12 cm)(100,000)
12 cm -> 1 200 000 cm,  each m = 100 cm
Distance: 1 200 000 cm / 100 cm/m = 1 200 m
Distance: 1 200 m / 1000 m/km = 1,2 km

Second scale is 1 -> 300,000 each centimeter in map represent 300,000 in the real world.  If you have 12 cm, in reality the distance is (12 cm)(300,000)
12 cm -> 3 600 000 cm,  each m = 100 cm and each km = 1000 m
Distance: 3 600 000 cm / 100 cm/m = 3 600 m
Distance: 3 600 m / 1000 m/km = 3,6 km

300 000 is three times 100 000

The real distance is three times. first case 1,2 second case 3,6

Your anwer is 3,6 in kilometers, 3 600 in meters or 3 600 000 in cm
klio [65]3 years ago
5 0

Part 1)

we have

the scale is 1:100,000

the distance on a map is 12\ cm

we know that

The scale is equal to the distance on a map divided by the real distance

Let

x------> distance on a map

y-------> real distance

S-------> scale

S=\frac{x}{y}

In this part we have

S=\frac{1}{100,000}

x=12\ cm  

Find the value of y

y=\frac{x}{S}

Substitute the values

y=\frac{12}{(1/100,000)}

y=1,200,000\ cm

Convert to kilometers

y=12\ Km

Part 2)

In this part we have

S=\frac{1}{300,000}

y=12\ km  

Find the value of x

x=S*y

Substitute the values

x=(1/300,000)*12

x=0.00004 Km

Convert to centimeters

x=4\ cm

therefore

the answer is

The distance is 4\ cm

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