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

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Founder
Joined: 18 Apr 2015
Posts: 6200
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Kudos [?]: 1199 [1] , given: 5709

If the area of a rectangle is 40, which of the following cou [#permalink]  19 May 2017, 02:19
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Question Stats:

11% (02:41) correct 88% (01:47) wrong based on 18 sessions

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

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Founder
Joined: 18 Apr 2015
Posts: 6200
Followers: 99

Kudos [?]: 1199 [1] , given: 5709

Re: If the area of a rectangle is 40, which of the following cou [#permalink]  17 Jul 2017, 07:33
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OE

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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