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The Fencing Problem
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- Words:
- 6538
- Submitted:
- Fri May 08 2009
- Mark submitted by Author:
... Yr 10 GCSE Maths Coursework: The Fencing Problem In this investigation I plan to explore various polygons and deduce which type would yield the greatest area while complying with a perimeter of 1000m. I am only investigating regular polygons, because the otherwise would prove to be far too complex and involve an immeasurable amount of data. I will expand on this decision later in the investigation. I intend to find a general formula for the area of any polygon and prove it by applying it to each polygon I explore. The polygons I plan to investigate include: * Triangle (Isosceles, Scalene and Equilateral) * Rectangle * Parallelogram * Pentagon * Hexagon * Octagon * Decagon * A polygon with 15 sides (Pentadecagon) * A polygon with 20 sides (Icosagon) * A polygon with n number of sides (N-Gon) * Circle As you can see, I am working my way up chronologically in aspects of the number of sides on each polygon. For each
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