A website features a rectangular display with the dimensions of the rectangle changing continuously. At what rate is the height of the rectangle changing when it (the height) is 3 cm and the diagonal of the rectangle is 5 cm? Given that the area of the rectangle is increasing at 3/4 cm^2 per second and the diagonal of the rectangle is increasing at 1/3 cm per second.

Begin by setting up the problem, stating clearly what each of your variables denotes; give me the appropriate derivative as a function of the other quantities and derivatives before making any substitutions; come back out at the end to answer the question asked, using a clear, complete statement that includes the word 'increasing' or 'decreasing'.