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The fencing problem
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- Words:
- 1438
- Submitted:
- Thu Jul 11 2002
... The fencing problem I am going to investigate the shapes of a plot of land. The plot has a fixed perimeter of 1000m and I will investigate what shape gives the maximum area with a fixed perimeter. I will only investigate regular shapes, as there are an unlimited number of irregular shapes. Triangle First I will investigate triangles as they are the first shape I though of and are very simple. The formula to work out the area of a triangle is - 1/2 x base x height This formula is simple but I will make a formula that gives you the area but you don't need to know the height to save time calculating the areas. Isosceles triangle- Let the equal sides be x. X X <1000- 2 x> Total perimeter = 1000m First I need to work out the height using Pythagoras. H = x ² - 1/2 (1000 -2 x)² H
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