A map has a scale of 1 cm : 20 km. Two cities are 2.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?.

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Co1CarryMoiraz4ylulu Co1CarryMoiraz4ylulu

18-07-2016
Mathematics

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A map has a scale of 1 cm : 20 km. Two cities are 2.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?.

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Аноним Аноним · Answer 1 · 2016-07-19T12:13:13+02:00

The ratio of the map is 1cm: 20 km.

On the map, the two cities are 2.5 cm apart. Using the ratio and proportion method one obtains the equation:

[tex] \frac{1 cm}{20 km} = \frac{2.5 cm}{y (km)} [/tex]

y is the measurement in kilometer. Multiplying 20 by 2.5 and dividing by 1. This is by cross multiplication which is a simpler method in evaluating fractions and finding for the unknown. The answer is 50 km.