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 Grass Roots (Posted on 2004-12-12)

You have been captured by a mad king, he has placed you in a large field, he says you are free to go once you have calculated the area of the field.

He has left you with 1 pencil, 1 piece of paper, and 1 30cm ruler.

What is the quickest way to work out the area of the field, so you can go home to your family?

NOTE, from any position inside the field you can see the entire perimeter, assume that the field has four straight sides, though the angles may all be different.

Also, the area of the field is large enough to make it impractical to measure with the ruler

 See The Solution Submitted by Juggler Rating: 4.5000 (2 votes)

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 re: Solution | Comment 2 of 13 |
(In reply to Solution by Larry)

Clever.

You could improve accuracy by marking out on the ground a longer baseline, say one ruler length -- 30 cm.  Then place the ruler a given distance away, and sight from both ends of the 30 cm. line.  With variations, like 2 ruler lengths instead of one, accuracy could be increased further.

 Posted by Charlie on 2004-12-12 19:01:27

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