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The right pentagon (Posted on 2004-06-12) Difficulty: 3 of 5
There is a pentagon ABCDE such that angles A, C, and E are all right angles and it is concave at angle C.

If a ray starting at D was aimed at C, it would go exactly 1 inch before going through C, and would eventually go through A.

If BC and AE are both 5 inches, what is the area of this pentagon?

See The Solution Submitted by Gamer    
Rating: 3.3333 (6 votes)

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Some Thoughts OH... | Comment 3 of 11 |
OK, so angle C is 270 degrees.  Angles E and A are adjacent right angles, so AB and ED are parallel lines.  C is between those 2 lines and closer to the AE segment than either B or D.  And since BC is 5 and CD is 1, BD (which is not part of the pentagon) is sqrt(26).  ED is 1 inch shorter than AB.
  Posted by Larry on 2004-06-12 11:58:56
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