Answered

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? 1. 3 kilometers 3 kilometers 6. 75 kilometers 9 kilometers.

Sagot :

Ratio compares two things. The length of the trail, in reality, is 6.75 km.

What is the scale ratio?

A scaling ratio helps us to compare two things.

Given to us

The scale on the map states that 2 centimeters represent 3 kilometers.

Length of the trail on the map, L = 4.5 cm = 0.045 m

As we know that 2 centimeters represent 3 kilometers. therefore,

[tex]\rm \dfrac{Map}{Real} = \dfrac{0.02\ m}{3000\ m}[/tex]

We know that the Length of the trail on the map is 0.045 m,

[tex]\rm \dfrac{L}{L'} = \dfrac{0.02\ m}{3000\ m}[/tex]

Substitute the value,

[tex]\rm \dfrac{0.045}{L'} = \dfrac{0.02\ m}{3000\ m}\\\\L' = 6750\ m\\\\L' = 6.750\ km[/tex]

Hence, the length of the trail, in reality, is 6.75 km.

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