Asked by sonia

what is the smallest perimeter possible for a rectangle whose area is 1000in^2 and what are its dimensions?
Answered by Reiny
The smallest perimeter of a rectangle is obtained when the rectangle is a square,
so ...
x^2 = 1000
x = √1000 = 10√10



so the perimeter is 40√10 and its dimensions are
10√10 inches by 10√10 inches.
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