A map of a trail in a park has a length of 4.5 centimeters from start to finish. The scale on the map states that 2 centimeters represents 3 kilometers.

What is the actual length of the trail in kilometers?


A) 1.3 kilometers

B) 3 kilometers

C) 6.75 kilometers

D) 9 kilometers

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♡ The Question ♡      

A map of a trail in a park has a length of 4.5 centimeters from start to finish. The scale on the map states that 2 centimeters represents 3 kilometers.  

What is the actual length of the trail in kilometers?  

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♡ The Answer ♡      

C) 6.75 kilometers!  

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♡ The Explanation/Step-By-Step ♡    

No Explanation/Step-By-Step provided!    

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The length of the actual trail is required in kilometers.

The actual length of the trail is C) 6.75 kilometers.

Scale diagrams

It is given that 2 centimeters on the map represents 3 kilometers of actual length.

[tex]2\ \text{centimeters}=3\ \text{kilometers}[/tex]

We need to find what 1 centimeter on the map represents.

So, we divide both sides by 2.

[tex]\dfrac{2}{2}\ \text{centimeters}=\dfrac{3}{2}\ \text{kilometers}=1.5\ \text{kilometers}[/tex]

The length of the trail is 4.5 centimeters in the map. So,

[tex]4.5\ \text{centimeters}=4.5\times 1.5=6.74\ \text{kilometers}[/tex]

Learn more about scale diagrams:

https://brainly.com/question/3489790