what is the smallest perimeter possible for a rectangle whose area is 1000in^2 and what are its dimensions?
math - Reiny, Sunday, April 28, 2013 at 11:45am
The smallest perimeter of a rectangle is obtained when the rectangle is a square,
x^2 = 1000
x = √1000 = 10√10
so the perimeter is 40√10 and its dimensions are
10√10 inches by 10√10 inches.