Final answer:
The length of the Panama Canal on Ana's map is approximately 19.133 centimeters.
Step-by-step explanation:
To find the length of the Panama Canal on Ana's map, we can set up a proportion using the scale. Let 'x' represent the length of the canal on Ana's map:
7 centimeters / 30 kilometers = x centimeters / 82 kilometers
Cross-multiplying, we get:
30 kilometers * x centimeters = 82 kilometers * 7 centimeters
Simplifying, we get:
x = (82 kilometers * 7 centimeters) / 30 kilometers
Canceling units, we get:
x = (82 kilometers * 7) / 30
x ≈ 19.133 centimeters
Therefore, the length of the Panama Canal on Ana's map is approximately 19.133 centimeters.