Question

Яку найбільшу кількість прямокутників розміром 1×4 можна розмістити у квадраті розміром 6 × 6 так, щоб прямокутники не накладалися і кожний покривав 4 клітинки?​

Answer 1

Ответ:

Пошаговое объяснение:

площадь квадрата = 6*6 = 36 единиц2

площадь прямоугольника = 1*4 = 4 единиц2

Кол во = 36/4 = 9 штук

Answer 2

Number of 1x4 Rectangles in a 6x6 Square

To determine the maximum number of non-overlapping 1x4 rectangles that can be placed inside a 6x6 square, we need to consider the dimensions of both the rectangles and the square.

Each 1x4 rectangle covers 4 cells, and we want to ensure that each rectangle covers exactly 4 cells. Additionally, we want to avoid any overlap between the rectangles.

To solve this problem, we can start by calculating the total number of cells in the 6x6 square. Since each side of the square has a length of 6, the total number of cells is 6 * 6 = 36.

Next, we divide the total number of cells in the square by the number of cells covered by each rectangle. In this case, each rectangle covers 4 cells. Therefore, the maximum number of rectangles that can be placed inside the square is 36 / 4 = 9.

So, the maximum number of non-overlapping 1x4 rectangles that can be placed inside a 6x6 square, such that each rectangle covers exactly 4 cells, is 9.

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