How many point in the region enclosed by y>=|x-5| and y<=5 have integral coordinates ? Ans is 36 .. If i apply picks theorem i am getting 32 . kindly help

Question

Answer 1

By drawing the given lines in graph, it formes a triangle with vertices: (0,5), (10,5) and (5,0).

So the number of integral co-ordinates = 1(y=0)+3(y=1)+5(y=2)+7(y=3)+9(y=4)+11(y=5)=36.

Answer 2

By drawing the given lines in graph, it formes a triangle with vertices: (0,5), (10,5) and (5,0).

So the number of integral co-ordinates = 1(y=0)+3(y=1)+5(y=2)+7(y=3)+9(y=4)+11(y=5)=36.

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How many point in the region enclosed by y>=|x-5| and y<=5 have integral coordinates ? Ans is 36 .. If i apply picks theorem i am getting 32 . kindly help