As shown in the figure, in the right-angled trapezoidal ABCD, ad∑BC, AB⊥BC, BC=5, CD=6, ∠ DCB = 60, the side length of the equilateral triangle PMN is X, and both the side MN and the bottom BC of the right-angled trapezoidal ABCD are on the straight line L, and NC = 8.

(1) If the right-angled trapezoid is folded 180 degrees to the left in the horizontal direction, the figure ① will be folded once and the figure ② will be folded twice. The area of the overlapping part between the figure obtained after folding for three times and the equilateral triangle is exactly equal to the area of the right-angled trapezoid ABCD, and the range of the side length x of the equilateral triangle at this time is found;

(2) If the right-angled trapezoid ABCD rotates counterclockwise around point C to the position in Figure ①, and then rotates counterclockwise around this point to the position in Figure ②, the area of the overlapping part between the trapezoid and the equilateral triangle is half of the trapezoid after three rotations, and the side length of △PMN is calculated.