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If the area of a rectangle is 40, which of the following cou

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If the area of a rectangle is 40, which of the following cou [#permalink] New post 19 May 2017, 02:19
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If the area of a rectangle is 40, which of the following could be the perimeter of the rectangle?

Indicate all such perimeters.

❑ 20

❑ 40

❑ 200

❑ 400

❑ 2,000

❑ 4,000

[Reveal] Spoiler: OA
B,C,D,E,F
[Reveal] Spoiler: OA

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Re: If the area of a rectangle is 40, which of the following cou [#permalink] New post 17 Jul 2017, 07:33
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The perimeter of a rectangle whose area is 40 can be as large as we like (for example, if the length is 4,000 and the width is 0.01, the perimeter is 8,000.02). However, the perimeter is the smallest when the rectangle is a square, in which case each side is \(\sqrt{40}\) and the perimeter is 4 \(\sqrt{40}\). Since \(\sqrt{40}\) > 6, the perimeter is greater than 4 x 6.24. So Choice A, 20, is not possible All of the other choices are possible.
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Re: If the area of a rectangle is 40, which of the following cou   [#permalink] 17 Jul 2017, 07:33
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If the area of a rectangle is 40, which of the following cou

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