Question

Ana drew a map of the Panama Canal. In the scale Ana used for the 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 Anas map?

Answer 1

the length in centimeters of the Panama Canal on Anas map is $16.4cm$ .

Step-by-step explanation:

Here we have , Ana drew a map of the Panama Canal. In the scale Ana used for the map 4 centimeters represents 20 kilometers. The actual length of the Panama Canal is 82 kilometers.  We need to find  What is the length in centimeters of the Panama Canal on Anas map . Let's find out:

In the scale Ana used for the map 4 centimeters represents 20 kilometers , that means for 4 cm we have 20 km , So for 1 km we have :

⇒ $\frac{4}{20}cm$

⇒ $\frac{4(5)}{20(5)}cm$

⇒ $\frac{20}{100}cm$

⇒ $0.2cm$

Hence , for 82 km we have :

⇒ $0.2cm(82)$

⇒ $(82(0.2))cm$

⇒ $16.4cm$

Therefore , the length in centimeters of the Panama Canal on Anas map is $16.4cm$ .