Question: Use the Lagrange multipliers approach and determine the optimized perimeter of the following shape made up of a rectangular section and a circular section

Use the Lagrange multipliers approach and determine the optimized perimeter of the   

Use the Lagrange multipliers approach and determine the optimized perimeter of the following shape made up of a rectangular section and a circular section as shown in the figure. Only the positive values of "a" and "b" are valid, then, lambda must be negative in case it is the square root of a value (take the negative solution for lambda). The area of the shape must be 1,383 squared inches (in) a b x(in) What is the optimized perimeter in inches?

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