# Grazing Cow

Geometry Level 4

A cow is tied to a corner (vertex) of a regular hexagonal fenced area of sides $$4$$ meters long, with a rope of length $$10$$ 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 $$A$$ be the area in square meters. Find $$\left\lfloor A \right\rfloor$$. where $$\left\lfloor ... \right\rfloor$$ represents Greatest Integer Function.

×