I.3 Make a square of "Go" stones

When I arranged "Go" stones without a gap to make a square, 8 pieces remained.
Tried to increase one line of length and width, but lacked 11 pieces.
How many go stones are there?
(Go is a board game for two players who place white or black stone on a grid.)







Answer
89 pieces

Solution
It is expected that 8 +11 = 19 pieces are required to increase one line of length and width.
Since one stone is necessary for the corner to increase by one line in length and width, one line of original number is (19 - 1)/2 = 9 pieces.
Therefore, the number of Go stones is 9 × 9 + 8 = 89 pieces.