Goats Do Roam Mystery Cache

A farmer tethers his goat to a corner of a 3 sided out building, which has corners A, B and C. The length of AB is 30ft while BC is 40ft. The interior angle at B is 90°. In order to control the area that the goat can graze, the farmer uses sticks and ropes of various lengths to tether the goat to the different corners. That way, the goat won't eat all of his grass at once On this particular day, the stick is attached to and pivots about corner B and is 30ft long. The goat is attached to the other end of the stick by a piece of rope that is 10ft long. For the purposes of this exercise assume that the goat's chinny chin chin is exactly at the end of the rope, meaning that his mouth can be no further than 10ft from the end of the stick. What is the area can the goat graze on this day? Round your answer to 2 decimal places which will give you UVWX.YZ sq ft.

This cache is certified North Jersey