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Two squares (Posted on 2006-01-05) Difficulty: 3 of 5
Construct a large square ABCD with AB at the top.

Next construct a smaller square (A'B'C'D') inside ABCD, with any orientation and centre and join the corresponding corners.

This divides the region between the squares into four.

We will name these divisions (and their areas):

(N)orth = ABB'A'
(E)ast = BCC'B'
(S)outh = CDD'C'
(W)est = DAA'D'.

Show that the areas of these regions satisfy the equality
N+S = E+W.

See The Solution Submitted by goFish    
Rating: 4.3333 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Solution | Comment 2 of 7 |
(In reply to Solution by Bractals)

I prefer the graphical solution.  I came up with the same dissection, so it saves me having to upload it.
  Posted by Jer on 2006-01-05 14:35:58

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