Photographs in Smithville





    Photographs are arranged as shown in the photograph. Using this rule, a 5-row arrangement is made up of 9 frames with the longest row having three frames (as shown). A 3-row arrangement is made up of 4 frames, with the longest row having 2 frames.

 

Using the same rule, find the number of frames in an 11-row arrangement. Also, what is the number of frames in the longest row?

 

Is it possible to arrange 100 frames in this way? If so, how many rows will there be? If not, why not?

 

Photo Source | Smithville School District MO USA