Question

A tetromino is a figure made from 4 squares of the same size. Consider five different tetrominoes, called O-, Z-, L-, T-, and I-tetrominoes (given below in this order): The following two questions concerm covering a rectangular board with tetrominoes. We assume the board is made up of squares of the same size as the ones used to make the tetrominoes. For example, the board which is 4 x 5 squares looks like: Further, we assume that overlapping tetrominoes or tetrominoes that stick out from the sides of the board are not allowed. We have also unlimited supply of all five types of tetrominoes and we can select any subset for this covering exercise. Under these assumptions Is it possible to cover a rectangular board of 10 x 30 squares with T- tetrominoes only? Justify your answer

Answer 1

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