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A farmer has exactly 1000 meters of fencing and wants to fence off a plot of level land.
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By Mohsina Kantharia Contents Page Problem Aim Triangles Rectangles Pentagon Hexagon Octagon Decagon 20-sided shape 50- sided shape 100- sided shape 1000-sided shape Overall table Circles General formulae Conclusion Problem A farmer has exactly 1000 meters of fencing and wants to fence off a plot of level land. She is not concerned about the shape of the plot, but it must have the perimeter of 1000m. So it could be any regular shape or anything else with a perimeter (or circumference) of 1000m. She wishes to fence off the plot of land, which contains the maximum area. Aim Investigate the shape, or shapes, that could be used to fence in the maximum area using exactly 1000 meters each time. Triangles I will firstly, start by investigating the largest area I will get in a regular triangle, with the perimeter of 1000m. Triangular shape target= 1000m 1. 2. 3. 4. 5. Perimeter (m) Base Side 1 Side2 Area mē 1000 50 475 475 5879.25 1000 100 450 450 11180 1000 200 400 400 19360 1000 300 350 350 23716.5 1000 333.3 333.35 333.35 48112.45 1000 400 200 200 22360 As you can see from this table and graph, the equilateral...
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