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Pastimes : INTERMEDIATE ALGEBRA

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To: Nazbuster who wrote (6)9/11/1999 4:13:00 PM
From: Lazarus_Long  Read Replies (1) of 96
 
GAWD!!!!!!!!!!!!
THIS IS BAD!

I tried a brute force approach and ended up with

sqrt(900-L^2) X sqrt(400-L^2)
----------------------------- = 10
sqrt(900-L^2) + sqrt(400-L^2)

where L is the width of the alley (and sqrt is the square root function). That's as far as I'm going to go by hand. Looks like we'll end up with at least a 4th degree equation and maybe an eighth.
Bad news. I'll feed this sucker to Mathematica when I get home tonight (if I get home tonight) and see if it can come up with at least a numerical answer.
Still looking for a trick that might crack it.
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