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# In the square shown in the attached diagram , 12w = 3x = 4y.

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VP
Joined: 30 Jun 2008
Posts: 1018
In the square shown in the attached diagram , 12w = 3x = 4y. [#permalink]

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08 Oct 2008, 06:58
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In the square shown in the attached diagram , 12w = 3x = 4y. What fractional part of the square is shaded?

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SVP
Joined: 29 Aug 2007
Posts: 2452
Re: PS : GOOD ONE [#permalink]

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08 Oct 2008, 07:29
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KUDOS
amitdgr wrote:
In the square shown in the attached diagram , 12w = 3x = 4y. What fractional part of the square is shaded?

3x = 12w .................... x = 4w
4y = 12w ..................... y = 3w

non-shaded area = 2 (1/2 xw) + 1/2 (xy) + 1/2 (w * 2w) = 11w^2
area of the whole square = (5w)^2 = 25w^2

so area of the shaded part = 25w^2 - 11w^2 = 14w^2

ratio = (25w^2 - 11w^2)/25w^2
= (14w^2)/25w^2
= 14/25
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VP
Joined: 30 Jun 2008
Posts: 1018
Re: PS : GOOD ONE [#permalink]

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08 Oct 2008, 08:46

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Re: PS : GOOD ONE   [#permalink] 08 Oct 2008, 08:46
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