Need help solving a trick question on youtube

[wildpig1234]

Here's the question:

I was trying to solve this problem using a system of 4 simultanous equations with 4 variables, each variable being one of the areas which the big square is divided into. But for some reasons, my system of 4 simultanous equations didn't have a discrete solution.

Anyone thinks this can be solved using the 4 simultaneous equations system? Or do you pretty much have to use trig or calculus?

 

[wildpig1234]

Sorry, please disregard this post. For some reasons, i wasn't able to get this post to come up to post a reply. Please see the other post with my equations.