Given that the area of the inner region ( A = xy = 100 ), find the

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Question:

Given that the area of the inner region ( A = xy = 100 ), find the values of ( x ) and ( y ) that will minimize the total area ( TA = (x+1)(y+1) ). Assume that ( x ) and ( y ) are positive real numbers. Provide the derivation of the equation used to determine the minimum total area.