Loci - How much rope is needed for this answer and where do I put the posts?

FratBro23
Category:
Calculus
Price: $5 USD

Question description

A rectangular field measuring 17.5 metres by 10 metres has two posts 7.5 metres apart with a ring on top of each post. The posts are approximately 7 metres from the nearest corners as shown in the diagram. You have two quarrelsome goats and plenty of ropes which you can tie to their collars and you want them to be able to graze the whole field between them. How can you secure them, using the posts, so they can't fight each other, and how much rope is needed?

Need an answer really quickly! If more information is needed (There is a diagram too) go to http://nrich.maths.org/597

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