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

#1**+1 **

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

CPhill
Mar 1, 2018