The Fencing Problem
Introduction
I am going to investigate different a range of different sized shapes
made out of exactly 1000 meters of fencing. I am investigating these
to see which one has the biggest area so a Farmer can fence her plot
of land. The farmer isnÂ’t concerned about the shape of the plot, but
it must have a perimeter of 1000 meters, however she wishes to fence
off the plot of land in the shape with the maximum area.
Rectangles
I am going to look at different size rectangles to find which one has
the biggest area.
Formula: Length x Width
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Table Of results
Length
Width
Area
0
500
0
50
450
22500
100
400
40000
150
350
52500
200
300
60000
250
250
62500
300
200
60000
350
150
52500
400
100
40000
450
50
22500
500
0
0
Conclusion
I have found that the four sided shape that had the biggest area when
using 1000 meters of fencing, was a square with the measurement of
250m x 250m and the area=62500m²
Isosceles Triangles
I am now going to look at different size Isosceles triangles to find
which one has the biggest area. I am going to use Pythagoras Theorem
to find the height of the triangle.
Pythagoras Theorem: a²=b²+c²
Formula To Find A Triangles Area: ½ x base x height
1. Base=100m Sides=450m
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a²=b²+c²
450²=b²+50²
202500=b²+2500
202500-2500=b²
200000=b²
Ö200000=b
447.2m=b
Area: ½ x b x h
½ x 100 x 477
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a basis of production, and the only way to operate large farms at the time,
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In Stephen Chapman’s essay, “The Prisoner’s Dilemma”, he questions whether the Western world’s idea of punishment for criminals is as humane as its citizens would like to believe or would Westerners be better off adopting the Eastern Islamic laws for crime and punishment. The author believes that the current prison systems in the Western world are not working for many reasons and introduces the idea of following the Koranic laws. Chapman’s “The Prisoner’s Dilemma” is persuasive because of his supporting evidence on the negative inhumane impact from the Western form of criminal punishment and his strong influential testament to the actions used by Eastern Islamic societies for crimes committed.
to use a system or land survey similar to that used in the western part of
Rodeo is a sport with long American traditions and loved by many spectators and participants. Past history has shown that rodeo needed to make way for a new era of riders and trainers with a larger emphasis on the welfare of the animals and not be discontinued or banned entirely. Today’s rodeos do not present a danger to the animals because the animals are well-cared for and protected, rodeos have strict rules and the stock are treated as prized animals.
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Enclosures are inside of these larger fields. Enclosures were the areas where landowners could experiment with more productive harvesting methods and seeding in order to determine if these experiments boosted crop yield. The Enclosure movement has two important results. First, landowners tried new agricultural methods. Second, large landowners forced small farmers to become tenant farmers or to give up farming and move to the cities.
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The graph compares Sonoma County’s land to Napa County’s land. The red represents the plantable land, with Primary Napa County having the most land efficient for planting. The purple represents vineyard cost between Napa County and Sonoma.