10) The side of the smaller hexagon in the figure is 1 and that of the larger hexagon is 2. What is the sum of the lengths of all the segments drawn?
(A) 18
(B) 24
(C) 30
(D) 36
(E) none of the above.

![](https://cdn.mathpix.com/cropped/2024_04_17_548b825896d130d6fc47g-1.jpg?height=220&width=250&top_left_y=1195&top_left_x=2508)
10) The answer is (C)

The required length can be obtained by adding the perimeters of the two regular hexagons (12 for the larger one and 6 for the smaller one) to the length of 3 of the diagonals of the larger hexagon, each of which measures 4. In total, $12+6+3 \cdot 4=30$.