Please see attached image. The area of a triangle with sides of length a, b, and c is /s(s – a)(s – b)(s – c), where s is half the perimeter ofthe triangle. We have 60 feet of fence and want to fence a triangular-shaped area.-Part A: Formulate the problem as a constrained nonlinear program that will enable us to maximize the areaof the fenced area, with constraints. Clearly indicate the variables, objective function, and constraints.Hint: The length of a side of a triangle must be less than or equal to the sum of the lengths of the other two sides.Part B: Solve the Program (provide exact values for all variables and the optimal objective function).

Part(a): Given that the sides of the triangle be a,b,c. Now, constructing the inequality. Maximum…

The area of a triangle with sides of length a, b, and c is Js(s – a)(s – b)(s – c), where s is half the perimeter of the triangle. We have 60 feet of fence and want to fence a triangular-shaped area. Part A: Formulate the problem as a constrained nonlinear program that will enable us to maximize the are of the fenced area, with constraints. Clearly indicate the variables, objective function, and constraints. Hint: The length of a side of a triangle must be less than or equal to the sum of the lengths of the other two sides. Part B: Solve the Program (provide exact values for all variables and the optimal objective function).