A rectangle has an area of 24 sq units and integer side lengths. What is the least possible perimeter of the rectangle, in units

Question

Please help with this problem

Answer 1

If the sides are lengths a and b, the perimeter is 2(a+b) and area=ab=24. b=24/a and the perimeter is 2(a+24/a).

If a and b are integers then the possible values can only be (1,24), (2,12), (3,8), (4,6). The corresponding perimeter values are: 50, 28, 22 and 20. The smallest is 20 (so the sides are 4 and 6).