No they wouldn't be the same because, the perimeter is adding all sides.
The square has 4 sides so you would add 9, four times.
9 + 9 + 9 + 9 = 36
And a pentagon has 5 sides so you would add 9, five times.
9 + 9 + 9 + 9 + 9 = 45
So, they are not the same.
Hope this helps. :)
All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is

Multiply both sides by <em>r</em> :

Subtract the latter sum from the first, which eliminates all but the first and last terms:

Solve for
:

Then as gets arbitrarily large, the term
will converge to 0, leaving us with

So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18