Question

Gavin drew a map of the Panama Canal. In the scale Gavin used for the map, 3 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 Gavin's map?

A. 12.3 cm
B. 50 cm
C. 8.2 cm
D. 123 cm

Answer 1

To find the length of the Panama Canal on Gavin's map, set up a proportion using the scale ratio. The length of the Panama Canal on Gavin's map is 4.9 cm.

Step-by-step explanation:

To find the length of the Panama Canal on Gavin's map, we can set up a proportion using the scale ratio.

Since 3 centimeters represents 20 kilometers on the map, we can set up the proportion: 3 cm / 20 km = x cm / 82 km.

Cross-multiplying, we get: 3 cm * 82 km = 20 km * x cm.

Simplifying the equation, we find that x = 4.9 cm.

Therefore, the length of the Panama Canal on Gavin's map is 4.9 cm. Therefore, the correct answer is A. 12.3 cm.