Sometimes life can make us do the craziest of things. In this problem you just need to find out how one can cut an \(8\times8\) chessboard into 20 pieces each having the same perimeter and consisting of a whole number of cells.
Draw 16 diagonals inside some cells of a \(5\times5\) square in such a way that no two of these diagonals share any points.
Can Jennifer draw an octagon and a line passing through two of its vertices in such a way that this line cuts a 10-gon from it?
(a) Can one fit 4 letters “T” (see the picture below) in a \(6\times6\) square box?
We do not allow any overlappings to occur.
(b) Can we fit them in a square with smaller side length?