A man uses 9 cm to represent 252 km. If the distance between the two cities on a map is 21 cm, how many kilometres apart are the cities?
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A man uses 9 cm to represent 252 km. If the distance between the two cities on a map is 21 cm, how many kilometres apart are the cities?
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Answer : 588 km
Step-by-step explanation:
A certain cartographer took 9cm to represent a actual distance of 252km
252 km = 252 × 10^5 cm
therefore ,
9 cm = 252 × 10^5 cm
therefore distance indicated by 1cm
1 cm = 252×10^5
9
1cm = 28×10^5
If on the same map the distance between two cities is 21 cm , then the actual distance between them is,
21 cm = (28×10^5 ) × 21 cm
=(28×21) × 10^5 cm
= 588 × 10^5 cm
therefore ,
21 cm = 588×10^5
to convert the actual distance into 'km '
21 cm = 588×10^5
1,00,000
21 cm = 588 km
therefore the actual distance between the two cities is 588 km
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Step-by-step explanation:
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