Puzzle #43: Dividing Grandma’s field
28 January 2020
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From New Scientist #3266, 25th January 2020 [link]
Two brothers have inherited a plot of land from their grandmother. The map shows that the land is made up of five identical squares, and the green dots indicate the location of four old oak trees.
There are two stipulations in Grandma’s will:
First, the land must be divided so that the brothers get exactly half of the area each, and;
Second, each brother should have two of the trees on their land.
The brothers would love to divide the land with a single straight fence from one edge to another. Can you find a line for the fence that fulfils everyone’s wishes — and without you needing to do any measurement?