Polygons joining together to make similar polygons

Question

I was given the below question in a math competition a few weeks ago.

I was bit confused about the wording of the problem and what was meant by the word "similar" in the given context. I tried doing part (a) and came up with the below shape.

Is this what they are asking for? Also, I tried doing part (b) however, I could not find any when n is greater than 4. Any ideas?

EDIT: I think I've finally found one where n=5!!

Now, back to part (b). For which n? Do we now have to try n=6?

Thank you.

Answer 1

For the first this is the solution

Answer 2

For even $n=2k$, take a shape formed by a column of $k+1$ squares next to one of $k-1$ squares; for odd $n=2k+1$, $k+1$ next to $k$.

Assemble two copies to form a rectangle of size $2\times n$. Assemble $n\times2$ such pairs to form a square of size $2n\times2n$. Then arrange $n$ squares to form the original shape, for a total of $4n^3$ copies.