The figure shows two regular pentagons. What is the perimeter of the larger pentagon?
A. 5n
B. 10n
C. 15n
D. 60n

Answer:
As shown in picture,
perimeter of inside pentagon: p1 = n + n + n + n + n = 5n
ratio between inside pentagon and outside pentagon: r = 6/(6 + 6) = 1/2
=> perimeter of outside pentagon: p2 = 2 x p1 = 2 x 5n = 10n
=> Option B is correct
Hope this helps!
:)