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gmat_thingie
- Junior | Next Rank: 30 Posts
- Posts: 23
- Joined: Thu Nov 12, 2009 12:37 am
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.
