Unit 2 Problems

Two Problems


1. A chessboard is a large square and is made up of 64 small squares. Consider only the first three rows of the chessboard.

a) Find the diagonals of all squares and rectangles possible in the first three rows. Arrange the squares and rectangles, from least to greatest, by length of their diagonals.

b) Consider the entire chessboard. When would you expect the squares or rectangles to give whole number diagonals?

2. A gold bar has a mass of 1 and 1/3 kg. You wish to cut off exactly 1/2 kg. What fraction of the bar should you cut off? Explain.

Problem 1 will require good organization, be conscientious in your work. Write the answers in your Journal to start and then later I will ask you to post.