In a double$-$pipe heat exchanger, hot oil with a heat capacity rate of $3000$ W$/$K enters at $400\backslash$deg C and exits at $300\backslash$deg C$.$ Simultaneously, a cold fluid enters at $30\backslash$deg C and exits at $250\backslash$deg C$.$ Given an overall heat transfer coefficient of $800$ W$/$m$\backslash$deg K$,$ calculate the area of the heat exchanger required for parallel flow and counter flow arrangement.