CALCULATION:Area at x = 3 will be maximum so,⇒ Area = A = \(\frac{1}{2}{\RM{\;}} \TIMES \left( {6 + 6 + 2{\rm{x}}} \right) \times \sqrt {36 - {{\rm{x}}^2}} \)⇒ A = \(\frac{1}{2}{\rm{\;}} \times \left( {12 + 3 \times 2} \right) \times \sqrt {36 - {3^2}} {\rm{\;}}\)⇒ A = 27√3 cm2