b) Take 1/5 th of the pentagon as shown below
we need to find 'b' (which is 1/10 th of the perimeter)
calculate the area of 10 of these triangles = 6
10 * 1/2 b h
10 * 1/2 ( hyp sin36 * hyp sin54) = 6
hyp^2 sin36 sin 54 = 1.2
hyp = 1.588556 then 'b' = hyp * sin 36 = .9337296 perimeter = 10 * b = 9.337296
Now do the same for the larger pentagon to get tthe ratio of the perimeters (basically do the above calculations wth '6' changed to 73.5)