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Topic: Rectangle Area
Replies: 11   Last Post: Jan 14, 2010 1:01 PM

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Avni Pllana

Posts: 546
Registered: 12/6/04
Re: Rectangle Area
Posted: Jan 9, 2010 3:04 PM
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Hi Philippe,

many thanks for the excellent contribution.

I think there is a simpler dissection solution to the problem. Using the figure you posted as reference, we observe that DCG is congruent to EMF. Hence area(DEFG) = area(DEMC). Since length(AB) = length(EM), it follows

area(ABCD) = area(DEMC),

therefore S2 = S1. So we need only the additional point M for the proof.

Best regards,

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