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12 August, 19:13

The distance between NY and Boston is 306 km. How long is it on a map (in cm) drawn at a scale of 1:1,200,000?

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  1. 12 August, 22:14
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    25.5 centimeters on the map.

    Step-by-step explanation:

    Given the actual distance between New York and Boston is 306 km = 306,000 meters = 30,600,000 centimeters.

    The map (in centimeters) is drawn at a scale of 1 : 1,200,000.

    It means 1 cm of map is actual distance of 1,200,000 in real.

    So we can multiply the scale factor with actual distance to find the length on map.

    Mathematically, length on map = scale factor * actual distance.

    Length on map = (1 / 1,200,000) * 30,600,000

    Length on map = 30,600,000 / 1,200,000 = 306 / 12 = 25.5 cm.

    Hence, It is 25.5 cm on the map.
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