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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 :

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

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