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

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Mike's inquiry revolves around determining the maximum number of regions created by drawing two squares, following a similar exercise with circles that resulted in three regions. The options provided for the number of regions are 3, 5, 6, 8, and 9. Participants in the discussion are tasked with analyzing the geometric interactions of the squares to arrive at the correct answer. The conversation highlights the importance of visualizing overlapping shapes to solve the problem effectively. Ultimately, the goal is to ascertain how many distinct regions can be formed by the intersection of two squares.
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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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