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Fencing problem.  

Member rating: No Rating | Words: | Submitted: Fri Apr 02 2004

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Number Coursework Problem: Farmer Pickles has 1000 metres of fencing. Find the field with the largest area encompassed by the 1000 metre fence for Farmer Pickles. Rectangles I started by looking at rectangles and these are the ones I looked at: 50 length - 450 height 100 length - 400 height 150 length - 350 height 200 length - 300 height 250 length - 250 height Once I had worked out the areas of all of those rectangles I drew a graph to show my results: I noticed that the area became larger as the shape became more like a regular quadrilateral. With a 1000 metres of fencing you could create a quadrilateral field with a maximum of 62500m². Triangles I decided to look at triangles next. Right angle triangles don't work well with this type of investigation so I've decided not to do them. To find the area I used this method: e.g. H² = a²...

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