A map has a scale of 1 cm : 21 km. Two cities are 3.1 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?

Question

Mathematics

Malcolm Franco

11 March, 01:51

A map has a scale of 1 cm : 21 km. Two cities are 3.1 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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Answers (1)

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River Heath · Answer 1

For the answer to the question above,

use the concept of ratio and proportion. The ratio between 1 cm to 21 km should be the same as the ratio of 3.1 cm to the actual distance. Let x be the unknown actual distance and mathematically express the situation,

(1 cm / 21 km) = (3.1 cm / x km)

This equation gives a value for x which is 65.1 km. Therefore, the answer is letter C.