Dividing a Rectangle (Posted on 2009-07-25)

Points E and F lie on the sides AB and AD respectively of rectangle ABCD
(not the corners). The line segments BF, FC, CE, and ED divide ABCD into
six triangles and two quadrilaterals. BF intersects CE and DE at points P 
and Q respectively. CF intersects ED at point R.

Let [WX...Z] denote the area of polygon WX...Z.

	Submitted by Bractals
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Solution:	(Hide)
[CDE] = [ABCD]/2 = [ABF] + [CDF] [CDR] + [CRQP] + [EPQ] = ( [AEQF] + [BPE] + [EPQ] ) + ( [CDR] + [DFR] ) [CRQP] = [AEQF] + [BPE] + [DFR] = 35 + 9 + 6 = 50

	Subject	Author	Date
	Puzzle Thoughts	K Sengupta	2023-12-27 08:01:14
	Puzzle Thoughts	K Sengupta	2023-06-19 22:19:05
	solution	Daniel	2009-07-25 15:21:25