Given the set S = {(u,v): 0<= u<=4 and 0<= v<=3} and the transformation T(u, v) = (x(u, v), y(u, v)) where x(u, v) = 4u + 5v and y(u, v) = 2u -3v,
graph the image R of S under the transformation T in the xy-plan
and find the area of region R
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