document.write( "Question 1194635: A resort's enormous rectangular pool is 500 meters wide and 250 meters long. A contractor is
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document.write( "hired to construct a brick walkway around the pool with an area of 1504 m^2?. What are the roots
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document.write( "of the working equation? \n" );
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Algebra.Com's Answer #826878 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A resort's enormous rectangular pool is 500 meters wide and 250 meters long. \n" ); document.write( "A contractor is hired to construct a brick walkway around the pool with an area of 1504 m^2. \n" ); document.write( "What are the roots of the working equation? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "If x is the uniform width of the walkway around the rectangular pool,\r\n" ); document.write( "then the area equation is\r\n" ); document.write( "\r\n" ); document.write( " (500+2x)*(250+2x) = 500*250 + 1504,\r\n" ); document.write( "\r\n" ); document.write( "or\r\n" ); document.write( "\r\n" ); document.write( " 500*250 + 1500x + 4x^2 = 500*250 + 1504\r\n" ); document.write( "\r\n" ); document.write( " 4x^2 + 1500x - 1504 = 0\r\n" ); document.write( "\r\n" ); document.write( " x^2 + 375x - 376 = 0\r\n" ); document.write( "\r\n" ); document.write( " (x-1)*(x+376) = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The roots are x= 1 and x= -376: one positive and one negative.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "As a possible solution, we accept the positive root and reject the negative one.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved, answered and explained.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you want to see many other similar (and different) solved problems, look into the lessons\r \n" ); document.write( "\n" ); document.write( " - Problems on the area and the dimensions of a rectangle surrounded by a strip\r \n" ); document.write( "\n" ); document.write( " - Cynthia Besch wants to buy a rug for a room \r \n" ); document.write( "\n" ); document.write( " - Problems on a circular pool and a walkway around it\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \n" ); document.write( "\"Dimensions and the area of rectangles and circles and their elements\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I \n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |