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The figure shows two squares, and the points W, X, Y, and Z lie on a

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The figure shows two squares, and the points W, X, Y, and Z lie on a [#permalink] New post   28 Apr 2022, 10:28
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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
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Re: The figure shows two squares, and the points W, X, Y, and Z lie on a [#permalink] New post   01 May 2022, 09:43
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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 .
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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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