Question 74990
The minimum perimeter for a rectangle of any given area is a square whose edge measure would be {{{sqrt(area)}}}


Since your answer must be whole numbers, and 84 is not a perfect square; the minimum perimeter dimensions are the factors of 84 that are closest in value to each other...namely 7 and 12.


This makes the minimum perimeter {{{2*7+2*12}}} or 38


Similarly, the maximum perimeter dimensions are the factors of 84 that are farthest in value from each other...namely 1 and 84.


This makes the maximum perimeter  {{{2*1+2*84}}} or 170