The student is correct. Due to the meaning of perimeter which is all sides added up to make a number total, it is possible for a square and a rectangle to have the same perimeter if the numbers add up.
This is what the graph would look like. Hope this helps:)
9/16+1/2 is the same thing as 9/16 + 8/16 so lets use that. and that =17/16 which when simplified is = 1 1/16
Hope it helps!
B is the answer to the question