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If the figure above shows the diagonal of two rectangles, is the inner

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Joined: 02 Sep 2009
Posts: 55277
If the figure above shows the diagonal of two rectangles, is the inner  [#permalink]

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New post 13 Sep 2018, 05:11
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Difficulty:

  35% (medium)

Question Stats:

71% (01:14) correct 29% (01:24) wrong based on 43 sessions

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Joined: 19 Apr 2017
Posts: 78
Concentration: General Management, Sustainability
Schools: ESSEC '22
GPA: 3.9
WE: Operations (Hospitality and Tourism)
Re: If the figure above shows the diagonal of two rectangles, is the inner  [#permalink]

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New post 15 Sep 2018, 04:46
If the figure above shows the diagonal of two rectangles, is the inner rectangle a square?
The diagonals in a square are always 45 degrees, if we can prove the diagonal is at 45 degree we find the answer

(1) The outer rectangle is a square means the diagonal splits the square into two 45 45 90 triangle = a, a, a√2
Since the diagonal is 45 then the inner rectangle is also a square

(2) The ratio of a side of the outer rectangle to its area is is x:x^2

\(side:area = x:x^2\)

\(side/(side^2) = x:x^2\)

means the area is side times side which is not true for rectangle but true for square
sufficient

D
GMAT Club Bot
Re: If the figure above shows the diagonal of two rectangles, is the inner   [#permalink] 15 Sep 2018, 04:46
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If the figure above shows the diagonal of two rectangles, is the inner

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