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QUESTION ON TWO IDENTICAL SQUARES INSCRIBED IN THE RECTANGLE

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by GMATGuruNY » Tue Oct 13, 2015 3:25 am
Image

As illustrated by the pink lines in the figure above, the height of the rectangle = the diagonal of each square.
As illustrated by the blue line in the figure above, the length of the rectangle = the sum of two diagonals.

Let d = the diagonal of each square.
Then the perimeter of the rectangle = 2H + 2L = 2d + 2(2d) = 6d.
Since p = 18√2, we get:
6d = 18√2
d = 3√2.

Since the diagonal of a square = s√2, we get:
s = 3
p = 4*3 = 12.

The correct answer is B.
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by gmat_thingie » Tue Oct 13, 2015 3:40 am
Thanks GMAT Guru for this excellent reply

However my question is whether there is any other way to solve this question, for example there are 16 triangles and any other way to solve if the general formula based solution doesnt strike?
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