A map uses a scale of 2 centimeters = 7 kilometers. The length of a road on a map measures 5 centimeters. What is the actual length of the road?

Respuesta :

Answer:

Using the given scale, the actual length of the road is 17.5 kilometers.

Step-by-step explanation:

To find the actual length of the road, we can use the scale provided on the map.

1. Identify the scale given: 2 centimeters = 7 kilometers. This means that on the map, 2 centimeters represent 7 kilometers.

2. Determine the length of the road on the map: It is given that the length of the road on the map measures 5 centimeters.

3. Set up a proportion to find the actual length of the road:

(Length on the map) / (Actual length) = (Scale on the map) / (Actual scale)

Plugging in the values:

5 centimeters / (Actual length) = 2 centimeters / 7 kilometers

4. Cross multiply and solve for the actual length:

5 centimeters * 7 kilometers = 2 centimeters * (Actual length)

35 kilometers = 2 centimeters * (Actual length)

Divide both sides of the equation by 2 centimeters:

(35 kilometers) / (2 centimeters) = Actual length

5. Calculate the actual length of the road:

Actual length = 35 kilometers / 2 centimeters