In the diagram below, there is a large square made of 21 squares, each of a different size. If the dimensions of the three smallest squares in the figure are 2x2, 4x4, and 6x6, can you determine the dimensions of all the other squares, including the one that contains the 21 smaller squares?

You must show your algebra to get credit!



Click here for a printer version of this puzzle

Click here for a hint



            Send your solution by the end of the month to: David Pleacher