perplexus.info :: Geometry : Enclosed area

Enclosed area (Posted on 2005-02-01)

Imagine a square ABCD with a diagonal BD. Now draw a line EF parallel to BD, such that E lies on BC and F lies on CD. Also length of EF = length of AB. Now Colour the space enclosed by BDFE. Of the square ABCD, what percentage of area is coloured ?

Submitted by Syzygy

Rating: 2.1667 (6 votes)

Solution: (Hide)

Draw another diagonal AC, and mark the mid point X. Now, in relation to square ABCD... Area of ABX = Area of EFC = 25% (proof: AB = EF and Angle C = Angle X) Also, area of BDC = 50%... so area of BDFE = 25%

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Answer	K Sengupta	2008-10-15 00:28:48
I think its the solution	ParryHotter	2005-02-26 01:01:01
Difficulty rating	nikki	2005-02-01 15:39:16
It is too easy....	Fletch	2005-02-01 14:59:09
Too much ammo?	nikki	2005-02-01 14:53:23
Looks pretty easy ...	Sean	2005-02-01 14:44:27

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