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?

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

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

×

Problem Loading...

Note Loading...

Set Loading...