Question 15
A goat in a horizontal ground is tied to one end of a 14 m long rope. The other end of the rope is attached to a ring which is free to slide along a fixed 20 m long horizontal rail. If the maximum possible area that the goat can graze is $x\text{ m}^2$, find the value of $x$. [Ignore the dimension of the ring and take $\pi=22/7$.]