document.write( "Question 1108430: A square lot of land was purchased and a number of 3 inch pickets used to create a fence around it. If the pickets were placed 3 inches apart, 50 pickets are left over. If pickets are placed 2.5 inches apart, 50 more are needed. Determine amt. of land and pickets purchased.\r
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Algebra.Com's Answer #723439 by ikleyn(52946) $\"\"$ $\"About$

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document.write( "Perimeter = (3+3)*(N-50)     (1)     (\"If the pickets were placed 3 inches apart, 50 pickets are left ove\")\r\n" );
document.write( "Perimeter = (3+2.5)*(N+50)   (2)     (\"If pickets are placed 2.5 inches apart, 50 more are needed\")\r\n" );
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document.write( "                                     (Notice that in (1) 3+3 is the distance between \"axial lines\" of the pickets: \r\n" );
document.write( "                                      3 in is their width and 3 in is the distance between them)\r\n" );
document.write( "                                     (same meaning has 3+2.5 in the equation (2) )\r\n" );
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document.write( "==============>  6*N - 300 = 5.5*N + 275,\r\n" );
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document.write( "6N - 5.5N = 300 + 275,\r\n" );
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document.write( "0.5N = 575  ====>  N = 1150.\r\n" );
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document.write( "So, N = 1150 pickets were purchased.\r\n" );
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document.write( "Then the perimeter = 6*(N-50) = 6*1100 = 6600 inches.\r\n" );
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document.write( "Hence, the side of the square =  = 1650 inches,\r\n" );
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document.write( "Then the area = 1650^2 = 2722500 sq. inches =  sq. ft = 18906.25 sq. ft.\r\n" );
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