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

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

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New post 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?

OA to follow ...
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Square-Quad.jpg
Square-Quad.jpg [ 9.7 KiB | Viewed 837 times ]


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Re: PS : GOOD ONE [#permalink]

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

OA to follow ...


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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Kudos [?]: 703 [0], given: 1

Re: PS : GOOD ONE [#permalink]

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New post 08 Oct 2008, 08:46
Yes :) thats the correct answer :)
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Re: PS : GOOD ONE   [#permalink] 08 Oct 2008, 08:46
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In the square shown in the attached diagram , 12w = 3x = 4y.

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