viernes, 3 de febrero de 2017

1135. Tangram cat

    Pepe Chapuzas had drawn a silhouette that looked like the cat of the tangram. If green dots represent points with integer coordinates... What's the area of the silhouette?
    Nina Guindilla calculated it:

    Dear Teacher:
    I'm using Pick's theorem...
area  =  i + b/2 − 1

where  i  is the number or interior points and  b  is the number of boundery points... 
    Let me count:
area  =  38 + 60/2 − 1  =  67  square units.

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