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?

Question

Mathematics

Asa White

30 September, 05:41

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?

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Answers (1)

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Devin Montgomery · 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