Pakiza gets a \(100\) piece puzzle as a gift. When the puzzle is finished, the pieces form a grid, where each row and each column of the grid has the same number of pieces.
How many pieces are in each row and each column of the puzzle?
On Monday, Pakiza gathers all the edge and corner pieces and puts them together to form the outside edge of the puzzle. How many edge and corner pieces does the puzzle have in total?
Pakiza continues to work on the puzzle a little bit every day. She places \(10\) pieces in the puzzle on Tuesday. On each day after that, she places one more puzzle piece than the day before, until the puzzle is complete. So, she places \(11\) pieces on Wednesday, \(12\) pieces on Thursday, and so on until all the pieces are in place. On what day of the week does Pakiza complete the puzzle? Justify your answer.
Themes: Algebra, Geometry & Measurement