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 Post subject: Lenny Conundrum #178
PostPosted: Sat Aug 12, 2006 4:26 pm 
Beyond Godly
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I didn't find a thread for this, even though it's been out for a few days now.

Quote:
Gilbert the Gelert farmer (He's a Gelert who happens to be a farmer, not a farmer who grows Gelerts!) has three fields. One field is an equilateral triangle, one field is a circle, and one field is a square. The square field is 75% larger in area than the triangular field, and 50% larger in area than the circular field. In order to completely fence all three of the fields, exactly 4000 metres of fencing is required.
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What is the total area of all three fields, in square metres? Please round to the nearest whole number, and please submit the answer as just a number. For example, if the answer is 150 square metres, you would just submit the number "150".


It's just pure math. very annoying math, but totally doable. if you use a whole lot of decimals and a good calculator, it shouldn't be a problem


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 Post subject:
PostPosted: Sun Aug 13, 2006 11:26 pm 
PPT Trainee
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I messed up somewhere while trying to just use pencil and paper and calculator. I ended up just using Goal Seek in Excel, which still needs some tedious equation manipulation....

But that half-hour shall not go to waste! I can say for certain that 8500/(2+2/sqrt(7) * 3^(3/4) + sqrt(2/3*pi)) is NOT the answer.

[edit] Sum of digits in my answer = 34


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 Post subject:
PostPosted: Thu Aug 17, 2006 1:12 pm 
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Answer: 334888 square meters


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