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# Can I arrange all 60 chairs in a square explain?

Updated: 9/26/2023

Wiki User

8y ago

Given N chairs, they may be arranged in a (hollow) square iff N mod 4 = 0. This is true of 60.

This is a hollow square: X represents a chair, and 0 represents no chair (it's just there to show a space where a chair could fit). In this case there are 12 chairs.

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Given N chairs, they may be arranged in a filled square iff N = MxM where M is an integer. This is not true of 60, so 60 chairs may NOT be arranged in a filled square.

This is a filled square: X represents a chair. In this case there are 16 (4x4) chairs.

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Wiki User

8y ago

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Q: Can I arrange all 60 chairs in a square explain?
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