JPDF for uniform-distribution

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you are given that the joint distribution of X and Y is uniform on the region defined by the conditions: $0<x<1$, $x<y<x+1$. Find the correlation coefficient of X and Y

My problem with this question is getting the area of the jpdf.I thought it would be just one, but that didn't work. Can anyone help me with this part of the question? Don't bother with actually integrating it, I can do that easily.