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A rectangle having integer length and width has a perimeter of 100 units. What is the number of square units in the least possible area?

Guest Mar 1, 2018
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Note that when  all sides = 25.....the perimeter = 100  and the area  =  25^2  =  625 units^2

 

Note that when one side is 1  and the other is 49....the perimeter is

2(1 + 49)  = 2* 50  = 100

 

And the area is  1 * 49  =  49 units^2

 

And this is the least possible area for integer sides with a perimeter of 100

 

 

cool cool cool

CPhill  Mar 1, 2018

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