perplexus.info :: Geometry : Rectangle to Square

Rectangle to Square (Posted on 2013-08-13)

A rectangle ABCD is to be cut into three pieces
(with two straight line cuts) and the pieces re-
arranged into a square.

Define the endpoints of the cuts.

Note 1: |AB|/4 ≤ |BC| < |AB|.

Note 2: A straight line cut (as the name implies)
is a cut along a straight line that
divides a piece into two pieces.

See The Solution Submitted by Bractals

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One way

| Comment 1 of 9

Let |AB|/4 = |BC| The following dissection is possible. Assume the \ is at 45 degrees connecting two +'s

+--+--+--+--+
|  |   \    |
+--+--+--+--+

+--+--+
|  |  |
+--+  +
|   \ |
+--+--+

Posted by Jer on 2013-08-13 14:47:52

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