If the measurements of the length and width of a rectangle have the joint density of f(x,y) = 1/ab for L - (a/2) < x < L + (a/2) , W - (b/2) < y < W + (b/2). and f(x,y) = 0 elsewhere, find the mean and variance of the corresponding distribution of the area of the rectangle. L for length, W for width.

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