Question 5 Use the Lagrange multipliers approach and delermine 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 1.076 squared inches y(in) a x(in) b What is the optimized perimeter in inches?

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