MHB [ASK] Minimum Dimension of a Map

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To create a map of an area with a maximum distance of 200 km on a 1 m × 1 m paper, a suitable scale is 1:210,000. This scale allows for adequate space around the two locations, preventing them from being at the very edges of the map. Using 210 instead of 200 ensures a more practical representation. The conversion indicates that 1 m on the map corresponds to 210 km in reality. Therefore, the recommended scale for the map is 1 m : 210,000 m.
Monoxdifly
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The farthest distance of two places in an area is 200 km. If someone wants to make a map of that area on a 1 m × 1 m paper, the possible scale to make it is ...
a. 1 : 210
b. 1 : 2.100
c. 1 : 21.000
d. 1 : 210.000

Can you help? The 200 and 210 makes me think that the distance on map won't be an integer.
 
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Monoxdifly said:
The farthest distance of two places in an area is 200 km. If someone wants to make a map of that area on a 1 m × 1 m paper, the possible scale to make it is ...
a. 1 : 210
b. 1 : 2.100
c. 1 : 21.000
d. 1 : 210.000

Can you help? The 200 and 210 makes me think that the distance on map won't be an integer.
The reason for using 210 rather than 200 is that you would not want the two places to be at the very edges of the map. You want to leave a bit of space on each side of the two places on the map. So you should choose a scale such that 1 m on the map represents 210 km on the ground. The scale of the map should therefore be 1 m : 210 km. Putting everything in terms of metres, that is 1 m : 210,000 m.
 
Ah, I see. Thanks, Opalg!
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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