document.write( "Question 1002154: The topic of my question is Quadratic Area Problems but that was not a choice, so I just went with parabolas. Also, this specific question has about 7 parts and I do not know how to even begin on any of them. \r
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document.write( "A homeowner has a rectangular piece of land 40 feet by 32 feet. He wants to place a rectangle shaped slab for a house on the land in such a way there is a uniform piece of lawn around it. Let \"X\" equal the width of the strip of surrounding lawn. \r
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document.write( "a) write an equation that expresses the area of slab in terms of \"x\"
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document.write( "b) what is the y-intercept value
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document.write( "c) if the lawn has a width of 16ft, what is the area of the slab?
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document.write( "d) what is the area of the slab if x is 12 feet
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document.write( "e) what is the width of the lawn if the area must be 900 square feet
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document.write( "f) what is the width of the lawn if the area is at most 900 square feet
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document.write( "g) what is the width of the lawn if the area is at least 600 square feet\r
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document.write( "Please help. Thank you so much!
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Algebra.Com's Answer #619124 by josgarithmetic(39620)![]() ![]() ![]() You can put this solution on YOUR website! This works better if we can draw a picture or figure - not easy enough to do here.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Total piece of land area, \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The rectangular slab, you only know that its placement in the middle of the piece of land must make a uniform width distance x between the boundary of the piece of land and a side of the slab.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The area which the slab covers is \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Think about the two separate parts and the total. \n" ); document.write( "Border area plus slab area is the piece of land area. \n" ); document.write( "B for Border Area, \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A brief re-read reminds us that \"lawn\" is for \"border\". There is the lawn and the slab.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That is for beginning and analyzing.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(b) You want to find the y-intercepts? What is (40-2x)(32-2x) when x is 0? That will give the y-axis intercept.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(a) There done earlier: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(c) If x=16 then what is the area of the slab? Substitute into the expression derived already.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For the rest, you should be able to think your way through. \n" ); document.write( " |