Or will they have you in pieces?

Today’s puzzles are all geometrical, and all from the mind of the UK’s most enduring and eloquent popular maths writer, Ian Stewart.

1. Bonnie Tiler

Below left is a square grid with three of its corner cells missing. Below right is a tile made of three cells in a line.

Given that there are 33 cells in the grid, can you cover it with 11 of these tiles? If not, why not?