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x^2=1144

x=33.82306905

the perimeter distance is the same no matter what, above is a square solution. As the width or length get longer, the opposite side gets skinner. Not sure what you mean by the "smallest" perimeter. Normally these types of problems give you the length of one side, the relation of the other side to the first, and then the total area.

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Q: What is the smallest perimeter if your area is 1144 sq cm?
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