document.write( "Question 1058002: A circular plot of ground is to be enclosed with posts. If the posts are placed a ft. apart, the amount needed will be 150 short. If placed 1 yard apart, the amount will be 70 over. Determine circumference of plot.\r
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\n" ); document.write( "\n" ); document.write( "Circumference of circle = pi * diameter.\r
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Algebra.Com's Answer #673019 by ikleyn(52778) $\"\"$ $\"About$

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document.write( "Let x be the circumference length, in feet.\r\n" );
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document.write( "The condition \"If the posts are placed a ft. apart, the amount needed will be 150 short\" means\r\n" );
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document.write( "x = n + 150,   (1)\r\n" );
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document.write( "where \"n\" is the number of posts stocked at the site.\r\n" );
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document.write( "The condition \"If placed 1 yard apart, the amount of posts will be 70 over.\" means \r\n" );
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document.write( "x/3 = n - 70.   (2)    ( 1 yard == 3 ft )\r\n" );
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document.write( "From (1), express n = x-150 and substitute it into (2) replacing n. You will get\r\n" );
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document.write( "x/3 = x - 150 - 70,   or\r\n" );
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document.write( "2x/3 = 220.\r\n" );
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document.write( "Then x =  = 330.\r\n" );
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document.write( "Answer.  The circumference is 330 ft.\r\n" );
document.write( "         The number of posts stocked at the site, is 330-150 = 180.\r\n" );
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