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If the area of square S is 20 square centimeters, which of the followi

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If the area of square S is 20 square centimeters, which of the followi [#permalink]

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If the area of square S is 20 square centimeters, which of the following is closest to the length, in centimeters, of one side of S?

(A) 3.5
(B) 4.0
(C) 4.5
(D) 5.0
(E) 5.5
[Reveal] Spoiler: OA

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Kudos [?]: 132643 [0], given: 12326

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If the area of square S is 20 square centimeters, which of the followi [#permalink]

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New post 20 Sep 2017, 00:13
Sqrt of 20 which approximates to 2 x Sqrt of 5 and then I was stuck approximating Sqrt of 5.
I tried 50 =approx = 49 = 7x7 just to realise that it does not help given that there is only one 0 in 50.
So I approximated sqrt of 500 to 22 which implies sqrt of 5 is around 2.2.
So 2x2.2 =approx 4.4. Ans C?

But I could have been cleverer by realising that the answer being 2 x sqrt of 5 and hesitating between C and D, answer D leads to sqrt of 5 = 2.5 which cannot be true given that 25x25=625 and 625 is way greater than 500. By elimination then ans C?

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Re: If the area of square S is 20 square centimeters, which of the followi [#permalink]

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New post 20 Sep 2017, 11:20
Bunuel wrote:
If the area of square S is 20 square centimeters, which of the following is closest to the length, in centimeters, of one side of S?

(A) 3.5
(B) 4.0
(C) 4.5
(D) 5.0
(E) 5.5


Area of square = \(side^2\) = 20
Side = \(\sqrt{20}\)
\(\sqrt{20}\) must be between 4 and 5 since \(4^2\)=16 and \(5^2\)=25
Hence answer 4.5 (C)

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Kudos [?]: 105 [0], given: 320

Re: If the area of square S is 20 square centimeters, which of the followi   [#permalink] 20 Sep 2017, 11:20
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