Grazing Cow

Geometry Level 4

A cow is tied to a corner (vertex) of a regular hexagonal fenced area of sides 44 meters long, with a rope of length 1010 meters long, in a grass field. The cow cannot graze inside the fenced area. What is the maximum possible area of grass field in which the cow can graze?

Let AA be the area in square meters. Find A\left\lfloor A \right\rfloor . where ... \left\lfloor ... \right\rfloor represents Greatest Integer Function.


This is an old KVPY problem. Try more such problems here.
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