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How to solve a fence problem in math
Rules about shapes in area
Analysis of fences
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The Fencing Problem - Math
The task
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A farmer has exactly 1000m of fencing; with it she wishes to fence off
a level area of land. She is not concerned about the shape of the plot
but it must have perimeter of 1000m.
What she does wish to do is to fence off the plot of land which
contains the maximun area.
Investigate the shape/s of the plot of land that have the maximum
area.
Solution
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Firstly I will look at 3 common shapes. These will be:
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[IMAGE]
A regular triangle for this task will have the following area:
1/2 b x h
1000m / 3 - 333.33
333.33 / 2 = 166.66
333.33² - 166.66² = 83331.11
Square root of 83331.11 = 288.67
288.67 x 166.66 = 48112.52²
[IMAGE]A regular square for this task will have the following area:
Each side = 250m
250m x 250m = 62500m²
[IMAGE] A regular circle with a circumference of 1000m would give an
area of:
Pi x 2 x r = circumference
Pi x 2 = circumference / r
Circumference / (Pi x 2) = r
Area = Pi x r²
Area = Pi x (Circumference / (Pi x 2)) ²
Pi x (1000m / (pi x 2)) ² = 79577.45m²
I predict that for regular shapes the more sides the shape has the
higher the area is. A circle has infinite sides in theory so I will
expect this to be of the highest area.
The above only tells us about regular shapes I still haven't worked
out what the ideal shape is.
Width (m)
Length (m)
Perimeter (m)
Area (m²)
500
0
1000
0
490
10
1000
4900
480
20
1000
9600
470
30
3. - Housing Devon is also stressed because her land lord has put his property for sell. Devon received very little warning about it and would like to know her rights. Devon is planning to move to live with her boyfriend and is considering moving to the North. Attempted phone call to
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.
In both Trifles and Fences, the relationship between genders plays a large part of the story and in both plays women are not created equal to their spouses. In comparing both plays, the women are tradtionally forced to stay home and do all the housing chores, while the men went to work and socialized with friends while at work. This idea of women staying at home portrays the control that society has over women and makes women unfree and confined to only their homes. In the play "Trifles" the wife, Mrs. Wright seems to have had a interesting life, singing for a chouir during her youth. However, when she marries Mr. Wright, she no longer sings for the chouir and starts lossing herself within her marriage and is unhappy. In the play "Fences,"
In a simple fictional world, characters are either good or bad, heroes or villains. The heroes almost always win and defeat the villains. In August Wilson’s Fences, Troy Maxson is more complex than that. He has both good and bad qualities. He is both a hero and a villain. Because of this, Troy can be considered an antihero.
The other owners in the neighborhood white , agreed to restrict colored people from buying houses in the neighborhood. Shelley had no knowledge of what the owners had done. He was not pleased with their ignorance.The circuit court declined to enforce the agreement on the basis that not all of the property owners had signed the covenant. Then Shelley appealed the case to the United States Supreme Court, which had no experience of a case like this before. The final decision was that any court may not constitutionally enforce a "restrictive covenant" which she prevents people of any particular race from buying
Most young college student who graduate often have difficulty finding work after graduation. The students go to school for many years and graduate from school with no clue on where to work and how to find work. Receiving advice from someone who knows the struggle of finding and keeping a job could be the best step you take into finding a job, because they know all the in’s and out’s as they have lived through it. Troy Maxson, of the classic American play, Fences, was always one who was dedicated to working hard to make a living. If a recent college graduate took advice from Troy Maxson, they would very much find, keep, and prosper in their career. Taking advice from Troy would teach them all the do’s and don’ts of finding a job.
Born April 27, 1945 in Pittsburgh, Pennsylvania, August Wilson is an African American author and play writer. August Wilson was best known for his ten series of plays that each depicted African American Life in the 20th century. Wilson won multiple of awards and recognition for his series of plays; the Tony Award (1985), the New York Drama Critics Circle Award (1985), and the Pulitzer Prize for Drama (1990). The Wilson's “Pittsburgh Cycle,” consists of ten plays where nine of them took place in the Pittsburgh’s Hill District, an African American neighborhood. August Wilson died on October 2, 2005 at the age of 60 in Seattle, Washington. Fences was written by August Wilson in 1983 and was first performed at the 46th Street Theatre on Broadway in 1987. It was the sixth play in his “Pittsburgh Cycle,” that won him the 1987 Pulitzer Prize for Drama. It can be seen that the storyline in the play Fences is related to the real life story of Wilson. The play Fences focus on the different types of conflict in an African American family that is caused by outside society and the roles of each member. The theme death is utilized throughout the play as a character portrait by Troy as he faces obstacles within his lifetime.
The theme of August Wilson’s play “Fences” is the coming of age in the life of a broken black man. Wilson wrote about the black experience in different decades and the struggle that many blacks faced, and that is seen in “Fences” because there are two different generations portrayed in Troy and Cory. Troy plays the part of the protagonist who has been disillusioned throughout his life by everyone he has been close to. He was forced to leave home at an early age because his father beat him so dramatically. Troy never learned how to treat people close to him and he never gave any one a chance to prove themselves because he was selfish. This makes Troy the antagonist in the story because he is not only hitting up against everyone in the play, but he is also hitting up against himself and ultimately making his life more complicated. The discrimination that Troy faced while playing baseball and the torment he endures as a child shape him into one of the most dynamic characters in literary history.The central conflict is the relationship between Troy and Cory. The two of them have conflicting views about Cory’s future and, as the play goes on, this rocky relationship crumbles because Troy will not let Cory play collegiate football. The relationship becomes even more destructive when Troy admits to his relationship with Alberta and he admits Gabriel to a mental institution by accident. The complication begins in Troy’s youth, when his father beat him unconscious. At that moment, Troy leaves home and begins a troubled life on his own, and gaining a self-destructive outlook on life. “Fences” has many instances that can be considered the climax, but the one point in the story where the highest point of tension occurs, insight is gained and a situation is resolved is when Rose tells Troy that Alberta died having his baby, Raynell.
“Fences” is a play written by August Wilson about a family living in Pittsburgh, Pennsylvania in 1957. Troy and Rose have been married for 18 years and have two grown children; Lyons and Corey. Troy is an uptight, prideful man who always claims that he does not fear death, the rest of his family is more laxed and more content with their lives than Troy is. As the play progresses the audience learns more about Troy’s checkered past with sharecropping, his lack of education and the time he spent in prison. The audience also learns more about Troy’s love for baseball and the dreams he lost due to racism and segregation. In the middle of the play the author outwardly confirms what the audience has been suspecting; Troy isn’t exactly satisfied with his life. He feels that he does not get to enjoy his life and that his family is nothing more than a responsibility. Getting caught up in this feelings, Troy cheats on Rose with a woman named Alberta and fathers a child with the mistress. By the end of the play Troy loses both of the women and in 1965, finally gets the meeting with death that he had been calling for throughout the play. Over the
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The play, 'Fences', presents a slice of life in a black tenement and is set in the late 1950's, through 1965. The main character, Troy Maxson, is a garbage collector. Throughout the play he rebels and frustrates as he struggles for fairness in a society which seems to offer none. His actions and behavior towards his family can be interpreted by a reader as those of a violent and bad father. However, soon one notices that beneath a mask of cruelty and toughness there is an individual who takes responsibility for his family no matter how difficult circumstances may seem. Hence, he is a good father who tries to keep his family together and provide necessities for them.
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lived in demanded her to give up her conspirator or bear the consequences of the
Racism is defined as, “the belief that all members of each race possess characteristics or abilities specific to that race, especially so as to distinguish it as inferior or superior to another race or races” (Merriam-Webster). Director Philip Noyce conveys Webster’s definition of racism in his 2002 film, Rabbit-Proof Fence, by examining Aboriginal racism of the 1930s through the eyes of three young girls: Molly, Gracie and Daisy who are forcefully taken from their mothers by the Australian government; and a man, Neville, who believes that giving half-castes a chance to join his “civilized society” is the virtuous thing to do, even if it means stripping them of their family, traditions and culture. The film follows the girls as they escape from the Moore River Native Settlement, an indentured servant training camp for half-castes, and walk 1,200 miles back to their home in Jigalong. Noyce weaves story progression and character development throughout the film to demonstrate the theme of racism and covey the discriminations that occurred to Australia’s stolen generation and Aboriginal people during the 1930s.