The ancient Greeks used a geometric method for completing the square in which they

Chapter 8, Problem 73

(choose chapter or problem)

The ancient Greeks used a geometric method for completing the square in which they literally transformed a figure into a square. x x 1 1 x x 4 4 This is not a complete square. The bottom-right corner is missing. Fill in the missing bottom-right corner and the square is complete. a. Write a binomial in x that represents the combined area of the small square and the eight rectangular stripes that make up the incomplete square on the left. b. What is the area of the region in the bottom-right corner that literally completes the square? c. Write a trinomial in x that represents the combined area of the small square, the eight rectangular stripes, and the bottom-right corner that make up the complete square on the right. d. Use the length of each side of the complete square on the right to express its area as the square of a binomial.