123k views
0 votes
A Congressman who is up for reelection is campaigning in his home state. Today he is

speaking at a rally in Oak Grove and tomorrow he will give a speech in Seaside. On a map of
the campaign trail, these two cities are 23 centimeters apart. How far apart are Oak Grove
and Seaside in real life if the map uses a scale of 1 centimeter: 4 kilometers?
kilometers

User Ybonda
by
7.7k points

2 Answers

0 votes
Okay, here are the steps to solve this problem:

1) On the map, Oak Grove and Seaside are 23 centimeters apart.
2) The map scale is 1 centimeter : 4 kilometers.
3) So for each 1 centimeter on the map, the actual distance is 4 kilometers.
4) Since Oak Grove and Seaside are 23 centimeters apart on the map,
the actual distance between them in kilometers is:

23 centimeters * (4 kilometers/1 centimeter) = 92 kilometers

5) Therefore, the cities of Oak Grove and Seaside are 92 kilometers apart in real life.

Here is the work shown in more detail:

Map scale: 1 cm : 4 km
Oak Grove to Seaside on map = 23 cm

So for each 1 cm on map = 4 km actual distance
And Oak Grove to Seaside = 23 cm on map

Actual distance = (Map distance in cm) * (Scale: km/cm)
= 23 cm * (4 km/1 cm)
= 92 km

In summary, if Oak Grove and Seaside are 23 cm apart on a map with a scale of 1 cm : 4 km,
then the actual distance between them in real life is 92 kilometers.

Does this help explain the steps and logic to solve the distance problem between Oak Grove and Seaside? Let me know if any part of the solution is unclear or if you have any other questions!

I can also re-explain the work in another way or provide an additional example if needed. The core concepts are:
identifying the map scale, converting map units to actual units, and applying the scale conversion to determine real-world distances.

Please feel free to ask for clarification or discuss any steps in the solution. I'm happy to help further through examples or explanation!

Let me know if you have any other questions. I can also explain other concepts in math, geography or related topics if needed.
User Nikola Knezevic
by
7.4k points
2 votes

Answer: 10

Explanation:

User Temi Fakunle
by
8.3k points