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2. A 500m long wire is cut into two pieces; one of length a: and the other of length 50 :13. The piece of length m is bent into a square and the piece of length 50 m is shaped into a circle. Let the function A(:1:) represent the total combined area of the two shapes. (a) Draw a diagram showing the dimensions of the square and circle in terms of 31:. Write an expression for 14(30) ad a suitable physical domain, i.e., the physical restrictions on the values for (L'. (b) Find the global minimum of A(J:) Make sure to justify your answer.|