Pirate Friends

Pirate Pete protects his treasure chests by placing cement blocks
entirely around the treasure. If he always places new treasure
chests end to end, how many cement blocks are needed to 2, 3, 4,
10, 100, and x treasure chests. (You need to find a rule!!!)
Now for his friends Pirates Portia, Felipe, and Felicia.
Pirates Portia, Felipe, and Felicia do similar treasure chest
protecting as does Pirate Pete; they protect treasure chests (which
are still always laid end to end) by placing concrete blocks entirely
around the treasure. The only difference is that ……………
Pirate Portia’s, Felipe’s, and Felicia’s treasures are in the shape of
hexagons, rhombuses, and trapezoids, respectively. How many
cement blocks are needed to 2, 3, 4, 10, 100, and x treasure
chests. (You need to find a rule!!!)

How many of these stupid fucking cement blocks are around a chest? Methinks you made this bullshit up, ばか.

What shape is Pirate Pete's (what is this? a Mickey Mouse cartoon?) treasure chest?

You need to tell us the relative size of the block/chest.  Is this a purely 2D problem?  Surrounding a chest with blocks in 2D isn't really secure, since you can just climb over them...

http://www.anontalk.se/

If you have time to ask the questions you have time to provide your own answers.  For example, I'm just going to assume that the chests are actually crates designed to stack with the concrete blocks and treat the whole problem as a giant rubix cube.

At each end is a solid wall of concrete blocks, in the middle is a tunnel or dome of blocks.  If the chests are always lined up, end to end, in a row, then there are always two outer walls and 1 tunnel per chest.

A rubix cube is made up of nine cubes.  If we assume the middle most cube is a chest, then we have complete 3D coverage from eight blocks in the cube.  If we replace the bottom face of the cube with ordinary ground then there are six blocks in the outer face and three per tunnel.

# Concrete Blocks = 12 + (5 * x)

x = 2 = 22
x = 3 = 27
x = 4 = 32
x = 10 = 72
x = 100 = 512

Nobody actually builds hexagonal storage crates, OP is just messing with us.  However, the trapezoids and rhombuses could easily result from faulty craftsmanship, say from a pirate ship carpenter with one eye and a hook for a hand.  If this happens, we should give each crate about a square of distance from the walls and take off the treasure crates can no longer support.

Sticking to our original design this gives us a five by two wall at each end.  We also have a roofless tunnel two squares tall on each side of the treasure chamber.  As the blocks are only required to be "entirely around the treasure," we don't actually need to worry about building a roof across this span.  So the equation is now

# of concrete blocks = 20 + (4 * x)

x = 2 = 28
x = 3 = 32
x = 4 = 36
x = 10 = 60
x = 100 = 420