You have a grid like this:
(The entire grid isn't shown as it would be too large, but the number of squares in each row are as follows: $2, 4, 6, \ldots, 96, 98, 100, 100, 98, 96, \ldots, 6, 4, 2$.)
We define this grid as $G(100)$, as it is 100 squares across at its widest point and 100 squares high at its tallest point.
You want to tile it with only copies of this tetromino:
You may rotate or flip the tetromino.
Is it possible? Why or why not? An explanation in your answer is required.
For which even positive integer values of $n$ is tiling the grid $G(n)$ with only the tetromino possible? (Again, you must provide an explanation.)
note: I will post my own solution after either two days have passed or two distinct correct answers (for each question 1 and 2) have been provided.