Probability density, bivariate

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Hi i have a problem where i am really unsure if my solution is correct. I tried using Mathjax but it did not work out.....that is why i am including a picture of my solution.

The problem:

$f(x,y)=\frac{1}{4} (x+y)$ if $0<x<y<c$, else 0

calculate c

enter image description here