PLEASE HELP!!!

A cow is tied to one corner of a barn that measures 10 feet by 20 feet, with a rope 100 feet long. What is the maximum grazing area for the cow?

Question

PLEASE HELP!!!

A cow is tied to one corner of a barn that measures 10 feet by 20 feet, with a rope 100 feet long.  What is the maximum grazing area for the cow?

kainui · Answer

This is an interesting question, you should draw a picture. and we can figure this out.

anonymous · Answer

|dw:1401410128386:dw|

anonymous · Answer

The barn being a rectangle confuses me a little.  I got the answer to the problem when the barn was 10 feet by 10 feet

kainui · Answer

Awesome alright, well I think the main thing to notice is that: |dw:1401410257123:dw| the cow is only eating that much, and then it sort of creates a new circle with the leftover radius of rope: |dw:1401410300789:dw| 

I am not entirely sure how to deal with that overlap so let's think about it. Do you know what radius each of those new sections has?