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
to use a system or land survey similar to that used in the western part of
a basis of production, and the only way to operate large farms at the time,
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.
Fences is a play that deals with boundaries that hold people back and the trials and tribulations of those who try or wish to cross them. The characters are African-Americans in a time before the civil rights movement, living in an industrial city. The main character, Troy Manxson, is a talented baseball player who never had the chance to let his talent shine, with restrictions on race and his time in jail as the main obstacles that held him back. He is now hard working and loves his family. However, he tends to exaggerate and has his faults, most prevalent a wandering eye when it comes to women. His wife, Rose, is younger than him and loyal, but she may not have known about all of his faults when she married him. At the beginning of the play, Troy has a son from a previous marriage, Lyons, and a son with Rose, Cory. Also appearing are Bono, Troy’s drinking buddy, and Gabriel, his brother.
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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.
In Fences, August Wilson introduces an African American family whose life is based around a fence. In the dirt yard of the Maxson’s house, many relationships come to blossom and wither here. The main character, Troy Maxson, prevents anyone from intruding into his life by surrounding himself around a literal and metaphorical fence that affects his relationships with his wife, son, and mortality.
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