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The langth of a bridgeon a map is 1.5 cm what is th actual length of the bridge if the map is 1:40,000

1 Answer

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Final answer:

To find the actual length of the bridge, multiply the length on the map (1.5 cm) by the scale factor (40,000). Then, convert cm to meters, resulting in an actual length of 600 meters.

Step-by-step explanation:

To calculate the actual length of the bridge from its map measurement, we can use the scale factor provided. The map scale is 1:40,000, meaning 1 cm on the map corresponds to 40,000 cm in real life.

Follow these steps:

First, determine the map length of the bridge, which is 1.5 cm.

Then, use the scale factor to calculate the real length. Multiply the map length by the scale factor:

Actual length = Map length × Scale factor

Actual length = 1.5 cm × 40,000

Actual length = 60,000 cm

To convert centimeters to meters (since 1 m = 100 cm), divide the length by 100:

Actual length in meters = 60,000 cm / 100

Actual length in meters = 600 m

Therefore, the actual length of the bridge is 600 meters.

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