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# PICTURE THIS Two figures: One Triangle with all 3 sides 't'.

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Manager
Joined: 17 Aug 2006
Posts: 86
PICTURE THIS Two figures: One Triangle with all 3 sides 't'. [#permalink]

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13 Nov 2008, 05:35
PICTURE THIS

Two figures:

One Triangle with all 3 sides 't'.
Two Square with all 4 sides 's'.

If the two regions above have the same area, what is the ration t:s

2:3

16:3

4:sqr3

2:4th root of 3

4: 4th rooth of 3

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VP
Joined: 17 Jun 2008
Posts: 1484
Re: PREP 12 of 37 [#permalink]

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13 Nov 2008, 05:56
Reading question stem "two square" as one square, D should be the anser.
Manager
Joined: 23 Jul 2008
Posts: 183
Re: PREP 12 of 37 [#permalink]

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13 Nov 2008, 12:43
root 3 t^2/4 = s^2
t^2/s^2=4/root 3
t/s= 2/4th root3
Agreed D
Manager
Joined: 17 Aug 2006
Posts: 86
Re: PREP 12 of 37 [#permalink]

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13 Nov 2008, 13:06
D is the answer, I'm just not sure how you got root 3 t^2/4 = s^2. Can you explain?
Manager
Joined: 23 Jul 2008
Posts: 183
Re: PREP 12 of 37 [#permalink]

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14 Nov 2008, 14:17
The area of an equilateral triangle with side "a" is given by the formula root3/4 a^2

and the area of a square is s^2

equating the two expressions we will get the answer

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: PREP 12 of 37   [#permalink] 14 Nov 2008, 14:17
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# PICTURE THIS Two figures: One Triangle with all 3 sides 't'.

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