Two rectangles have integer dimensions, and both have a perimeter of 144 cm. what is the greatest possible difference between the areas of two such rectangles?

Maximum of area is when both length and width are equal

144/4=36 max area=36*36=1296

minimum of area is when width is 1 and length is half of perimeter - 1

144/2=72 72-1 = 71 min area=71*1=71

1296-71=1225