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BigorU [14]
3 years ago
14

You are given an n×n board, where n is an even integer and 2≤n≤30. For how many such boards is it possible to cover the board wi

th T-shaped tiles like the one shown? Each cell of the shape is congruent to one cell on the board.
Mathematics
1 answer:
faltersainse [42]3 years ago
3 0

Answer:

  7

Step-by-step explanation:

The number of cells in a tile is 4. If colored alternately, there are 3 of one color and 1 of the alternate color. To balance the coloring, an even number of tiles is needed. Hence the board dimensions must be multiples of 4.

In the given range, there are 7 such boards:

  4×4, 8×8, 12×12, 16×16, 20×20, 24×24, and 28×28

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