Question

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?

Answer 1

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