Filling tetromino in rectangular tiles — lesson. Mathematics State Board, Class 7.

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Basic terminologies:

$m × n$ Representation of rectangles.

$m$ " is the number of rows in a rectangle.

$n$ " is the number of columns in a rectangle.

Example:

$3 × 7$ rectangle:

Important!

It is impossible to fill up the rectangle by using all the

$5$ -Tetromino types once, because of using the

$T$ -Tetromino which has its center square covered by the other three squares (in three sides).

It is possible to fill up the rectangle when each of the

$5$ -Tetromino is used twice.

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3. Filling tetromino in rectangular tiles