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Omni-MATH / A 9×7 rectangle is tiled with tiles of the two types: L-shaped tiles composed by three unit squares (can be rotated repeatedly with 90^(∘)) and square tiles composed by four unit s…

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problem

A 9×79\times 7 rectangle is tiled with tiles of the two types: L-shaped tiles composed by three unit squares (can be rotated repeatedly with 90∘90^\circ) and square tiles composed by four unit squares. Let n≥0n\ge 0 be the number of the 2×22 \times 2 tiles which can be used in such a tiling. Find all the values of nn.
Plain-text mathematical notation (without MathML)
A 9×7 rectangle is tiled with tiles of the two types: L-shaped tiles composed by three unit squares (can be rotated repeatedly with 90^(∘)) and square tiles composed by four unit squares.
Let n≥0 be the number of the 2×2 tiles which can be used in such a tiling. Find all the values of n.
Original LaTeX notation
A $9\times 7$ rectangle is tiled with tiles of the two types: L-shaped tiles composed by three unit squares (can be rotated repeatedly with $90^\circ$) and square tiles composed by four unit squares.
Let $n\ge 0$ be the number of the $2 \times 2 $ tiles which can be used in such a tiling. Find all the values of $n$.

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Source and history

task_id
27fe5e83-f685-5088-bca6-84609cde7612
task_key
test--27fe5e83-f685-5088-bca6-84609cde7612
task_revision_id
1
config / split
/ test

Official source

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