Union of 2 Squares: How Many Regions Can Mike Get?

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    Squares Union
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Discussion Overview

The discussion revolves around a problem posed by Mike regarding the maximum number of regions that can be formed by drawing two squares, similar to a previous example involving circles. The scope includes mathematical reasoning and combinatorial geometry.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • Mike presents a problem asking how many regions can be formed by two squares, providing multiple choice answers.
  • Some participants express confusion regarding the absence of a visual representation of the figure mentioned.
  • One participant thanks another for their input, indicating engagement in the discussion.

Areas of Agreement / Disagreement

The discussion does not reach a consensus on the maximum number of regions, and there is uncertainty regarding the visual context of the problem.

Contextual Notes

The absence of a visual reference may limit participants' ability to fully engage with the problem as intended.

bala2014
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By drawing two circles, Mike obtained a figure, which consists of three regions (see
picture). At most how many regions could he obtain by drawing two squares?
(A) 3 (B) 5 (C) 6 (D) 8 (E) 9
 
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I don't see a picture...
 
Hello, bala2014!

By drawing two circles, Mike obtained a figure,
which consists of three regions (see picture). . \bigcirc\!\!\!\!\! \bigcirc
At most how many regions could he obtain
by drawing two squares?

(A) 3 . . (B) 5 . . (C) 6 . . (D) 8 . (E) 9
Code:
                  *
                * 1 *
          * * * * * * * * *
          *8*           *2*
          *               *
        * *               * *
      * 7 *       9       * 3 *
        * *               * *
          *               *
          *6*           *4*
          * * * * * * * * *
                * 5 *
                  *
 
Thank you very much
 

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