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Is the area of equilateral triangle E less than the area of square C ?

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Is the area of equilateral triangle E less than the area of square C ?  [#permalink]

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New post 04 Dec 2019, 02:49
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

59% (01:02) correct 41% (02:03) wrong based on 36 sessions

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Joined: 27 Oct 2018
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Concentration: Strategy, International Business
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Re: Is the area of equilateral triangle E less than the area of square C ?  [#permalink]

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New post 04 Dec 2019, 05:30
the question is: is\( \frac{\sqrt{3}}{4}t^2 < s^2\) ?

from statement (1), \(s = \frac{2}{3}t\)
so \(s^2 = \frac{4}{9}t^2\) > \(\frac{\sqrt{3}}{4}t^2\) --> sufficient

from statement (2), 3t+4s = 17 --> clearly insufficient because there is no restrictions for the values

A
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Re: Is the area of equilateral triangle E less than the area of square C ?   [#permalink] 04 Dec 2019, 05:30
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Is the area of equilateral triangle E less than the area of square C ?

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