Andrew drew a map of the Panama Canal. In the scale Andrew used for a map, 4 centimeters represents 20 kilometers. The actual length of the Panama Canal is 82 kilometers.

What is the length in centimeters of the Panama Canal of Andrew’s map?

Use the drop down to complete the sentence.

The Panama Canal is (Select)16.4 cm15.5 cm162 cm410 cm

(Select) 

  on Andrew’s map.

To find the length of the Panama Canal on Andrew's map, we can use a proportion based on the scale provided:

- 4 cm represents 20 km.
- We need to find how many centimeters \( x \) represent 82 kilometers.

The proportion will be:

\[
\frac{4 \, \text{cm}}{20 \, \text{km}} = \frac{x \, \text{cm}}{82 \, \text{km}}
\]

Now, solve for \( x \):

\[
x = \frac{4 \, \text{cm}}{20 \, \text{km}} \times 82 \, \text{km} = \frac{4 \times 82}{20} = \frac{328}{20} = 16.4 \, \text{cm}
\]

Thus, the length of the Panama Canal on Andrew's map is **16.4 cm**.

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Would you like more details or have any questions about the process?

Here are 5 relative questions:
1. How would the map length change if the scale were 5 cm for every 20 km?
2. How do we set up proportions in problems like this?
3. What is the actual size of a 1:100,000 scale map of the Panama Canal?
4. How can you check if the answer is reasonable using mental math?
5. How would you convert the result to inches?

**Tip:** When working with map scales, always ensure you set up proportions correctly by matching the corresponding units (cm to cm, km to km).

Andrew drew a map of the Panama Canal. In the scale Andrew used for a map, 4 centimeters represents 20 kilometers. The actual length of the Panama Canal is 82 kilometers. What is the length in centimeters of the Panama Canal on Andrew’s map? The Panama Canal is (Select)16.4 cm, 15.5 cm, 162 cm, 410 cm on Andrew’s map.

Learn how to calculate the length of the Panama Canal on a map with a scale of 4 cm to 20 km, using proportional reasoning. This problem involves scale conversion and basic proportion concepts. Suitable for Grades 5-7 students.

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