What is the greatest perimeter of a rectangle with integer side lengths and an area of 2014 cm2?

• ans is 4030
  solution
  let sides be a and b then
  a*b=2014
  you should know that splitting 2014 as a and b as close as possible will give maximum product and for maximum sum , they shud be split as far as possible.
  factors of 2014 is 1,1007,2,2014, thus a can be 2014 and b can be 1
  thus perimeter is 2(2014+1)=4030
  
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