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