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An area cannot be 30m since that is a linear measure, not the measure of an area.

The lowest perimeter, for an area is attained by a circle. So for an area of 30 m2 this was attained by a circle of radius R, then

Ï€R2 = 30 so that R2 = 30/Ï€ and R = sqrt(30/Ï€)

The perimeter = 2*Ï€*R = 2*Ï€*sqrt(30/Ï€) = 2*sqrt(30*Ï€) = 19.42 metres

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Q: What is the lowest perimeter you can get from a area of 30m?
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