Enigma 1187: Leviticus 19:9-10
28 December 2015
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From New Scientist #2343, 18th May 2002 [link]
“When you reap the harvest of your land, you shall not reap to the very edges of your field, …, you shall leave them for the poor and the alien: I am the Lord your God.”
The land of Fairfield has put that commandment into its legal code. All the fields of Fairfield are the same size; they are rectangles, 100 metres wide and a whole number of metres long. Each field contains a border strip along each of its four sides. This strip is a whole number of metres wide and is not to be reaped. The width of that strip has been chosen so that exactly half the area of each field is in the strip. I noticed that the digits in the length, in metres, of each field are in decreasing order when read from left to right.
Find the length of each field and the width of each strip.