Social Distancing-edited

Geometry Level 2

Given a 10 m × 10 m \text{10 m} \times \text{10 m} room, what is the most number of people you can fit in it, such that there is at least 1 m \text{1 m} distance between any two people?

100 20 170 121

Bean Ender by Bean Ender , 25, India

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1 solution

Bean Ender
Apr 28, 2020

we can place people along the edge having 11 people. there will be 11 such lines possible. Thus 121 is possible.

Challenge :Prove that 170 is not possible, or rather what is the maximum number of people you can fit

0 Helpful 0 Interesting 0 Brilliant 1 Confused

If you use equilateral lattice you can fit at least 127 people.

Maria Kozlowska - 1 year, 1 month ago

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I was not sure what the best number would be. I created a discussion but i didnt get any responses, so i made this. maybe you can improve the 127 https://brilliant.org/discussions/thread/social-distancing/

Bean Ender - 1 year, 1 month ago

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