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

[bala2014]

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

 

[Prove It]

I don't see a picture...

 

[soroban]

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

                  *
                * 1 *
          * * * * * * * * *
          *8*           *2*
          *               *
        * *               * *
      * 7 *       9       * 3 *
        * *               * *
          *               *
          *6*           *4*
          * * * * * * * * *
                * 5 *
                  *

 

[bala2014]

Thank you very much