Question 32878
 The total area:
 1+1+2^2+3^2+4^2+5^2+6^2+9^2 = 2+13+ + 41 + 117 = 173
 is a prime of oly possiblee dim =  1 x 173 .  
 And clearly, either side of the final rectangle should be >= 9.
 So, it is impossible.

 Kenny