Problem 1. (1 point) Applied Optimization Consider a wire of length 12 ft. The wire is to be cut into two pieces of length a: and 12 2. Suppose the length 2 is used to form a circle of radius r and the length 12 z is used to form a square with side of length 3. What value of :5 will minimize the sum of their areas? a: = ft The minimum sum of the areas is then: \":2 Note: You can earn pattial credit on this