Sasha is planning to create a garden with area of 30m square. she could use a rectangular or circular design. Sasha decides to use a design that requires the least edging material. Which design should she use? How much edging with it require?

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Sasha is planning to create a garden with area of 30m square. she could use a rectangular or circular design. Sasha decides to use a design that requires the least edging material. Which design should she use? How much edging with it require?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Go with the circular. The edging for the circular is the circumference of the circle that has an area 30 m square. \[A=pir ^{2}\] \[r=\sqrt{30/\pi}\]Circumference =2r(pi)=19.416 meters. The perimeter of a square would be 4 times the sides. Each side would be\[s ^{2}=30\] \[s=\sqrt{30}=5.4772\]Perimeter is 4 times this or 21.9089 meters requiring more edging than the circle.

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