The wire 10 inches long is cut into 2 pieces. One piece is made into the square, and other piece is made into the equilateral triangle. Find lengths of each piece of wire which make sum of areas of square and triangle a maximum?
i) Find unknown(s) in terms of the variable and the word phrase
ii) Sketch and label suitable diagrams
iii) The function to be maximized
iv) Conclusion: Lengths of each piece of wire are?