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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
The figure shows two squares, and the points W, X, Y, and Z lie on a
[#permalink]
28 Apr 2022, 10:28
28 Apr 2022, 10:28
Expert Reply
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Question Stats:
83% (01:37) correct
16% (01:21) wrong based on 6 sessions
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The figure shows two squares, and the points W, X, Y, and Z lie on a line. If the distance between W and X is equal to the distance between X and Y and to the distance between Y and Z, then the area of the smaller square is what fraction of the area of the larger square?
A. 1/2
B. 1/3
C. 1/4
D. 1/8
E. 1/9
Re: The figure shows two squares, and the points W, X, Y, and Z lie on a
[#permalink]
01 May 2022, 09:43
01 May 2022, 09:43
1
Expert Reply
formula for side when diagonal is known s^2 = 2 * d^2
area of small square = 2 (xy)^2 ; area of bigger square = 2 (wz)^2
wz=3*xy
area of bigger square = 2 * 9 * xy^2.
ratio of smaller to bigger squares area = 1:9 .
area of small square = 2 (xy)^2 ; area of bigger square = 2 (wz)^2
wz=3*xy
area of bigger square = 2 * 9 * xy^2.
ratio of smaller to bigger squares area = 1:9 .
gmatclubot
Re: The figure shows two squares, and the points W, X, Y, and Z lie on a [#permalink]
01 May 2022, 09:43
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