Find the dimensions of a rectangle with area 2500 m2 whose perimeter is as small as possible. list the dimensions in non-decreasing order.

now, there are 3 critical points, two of them do not apply, since the perimeter cannot be either, but one will apply

then run a first-derivative test on that one, to the left-region of it and the right-region of it, to see if it's a minimum

if it's a minimum, then, that's the lowest P you can have for that Area