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I've tried many methods of solving this including tables and the inradius of a rhombus formula, but I can't get far on this one. Does anyone see an efficient way to go about this problem?

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  • $\begingroup$ Is this really supposed to be done by hand? $\endgroup$ – quasi Feb 27 '17 at 8:03
  • $\begingroup$ You can use any aid you have (calculator, computer) $\endgroup$ – Nick Brown Feb 27 '17 at 8:04
  • $\begingroup$ Then it's easy -- the answer is 240/17 $\endgroup$ – quasi Feb 27 '17 at 8:05
  • $\begingroup$ How on earth did you get that? Your answer lines up with the official key too, I'm sure you already knew this though lol. $\endgroup$ – Nick Brown Feb 27 '17 at 8:07
  • $\begingroup$ Not a complete brute force search, but at some point, I tested the remaining possibilities with a program. $\endgroup$ – quasi Feb 27 '17 at 8:08
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Here's a semi-brute-force version using a program ...

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  • $\begingroup$ Estimate: 2 minutes of math; 5 minutes of programming; 1 second to execute. $\endgroup$ – quasi Feb 27 '17 at 9:22
  • $\begingroup$ I'm going to go ahead and see if anyone else can come up with any clever methods, maybe using tables, if not I'll just accept yours and move on haha $\endgroup$ – Nick Brown Feb 27 '17 at 9:24

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