A3. Janez drew a pattern on a piece of paper, consisting of congruent squares and congruent hexagons, and then drew 2 perpendicular dashed lines on the pattern (see the image). What is the ratio of the area covered by the squares to the area covered by the hexagons?
(A) $1: 3$
(B) $1: 2$
(C) $14: 27$
(D) $4: 7$
(E) $14: 9$

![](https://cdn.mathpix.com/cropped/2024_06_07_a0d1506e8e2028d6d427g-02.jpg?height=659&width=668&top_left_y=1361&top_left_x=1248)
A3. Let's denote the area of one square by $p$. The area of the region covered by the squares is then equal to 28 p. Since the dashed lines are perpendicular, it is clear from the image that the central hexagon can be composed of two whole squares and two halves of a square. The area of one hexagon is therefore equal to $3 p$, and the area of the region covered by the hexagons is $18 \cdot 3 p = 54 p$. The desired ratio is thus equal to $28 p : 54 p = 14 : 27$.