Calculate surface area of any polygon

[languid grail]

Hiii
i'm trying to calculate the surface area of an irregular polygon given only the length of the sides in order
is it possible?
i looked on internet for quite some time but i cant find any answer (i even asked chatGPT)

[compact pond]

https://en.wikipedia.org/wiki/Shoelace_formula

Does this help you?

The maths is kinda hard tbh

But I would say it is possible from the information you provided

[languid grail]

thanks
but idk if that help
i just checked quickly and it seems to use coordinates but i only have an area of length for exemple: [4, 5, 5, 4, 8]

[compact pond]

Sorry, is English your first language? I'm having some difficulties understanding your message

[languid grail]

no its not sorry 😅

what i meant is... i only got the sides length of the polygon and nothing else

[compact pond]

I don't think it is without the angles

Where did this question come from? I feel like it's an xy problem

[languid grail]

yhea thats what i thought too...

[languid grail]

well i have Room where the user provides the number of wall and their length and i need the surface area of that room to calculate it's isolation

idk if that's clear sorry
my english is quite bad 😅

[compact pond]

You probably can't calculate the exact area of the room as you only have wall lengths and so there are infinitely possible rooms with infinitely different areas

[languid grail]

true

[compact pond]

You could probably calculate the maximal area though

With some maths

[languid grail]

maybe i should ask for the angle?

[languid grail]

that's interesting
could you tell me mmore about that?

[compact pond]

https://www.drking.org.uk/hexagons/misc/polymax.html

Other than that, I'm pretty sure the maths needed is complicated

[languid grail]

thanks a lot!
ill check that out

yhea right

[compact pond]

And I don't have enough skill to figure it out