document.write( "Question 1185499: A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code specifies that a lawn of uniform width and equal in area to the factory must surround the factory.\r
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\n" ); document.write( "\n" ); document.write( "If the dimensions of the factory are A ft by B ft with A\n" ); document.write( " and B= ? \n" ); document.write( "

Algebra.Com's Answer #816345 by ikleyn(52769) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code specifies that
\n" ); document.write( "a lawn of uniform width and equal in area to the factory must surround the factory.\r
\n" ); document.write( "\n" ); document.write( "What must the width of the lawn be? ?\r
\n" ); document.write( "\n" ); document.write( "If the dimensions of the factory are A ft by B ft with A\n" ); document.write( " and B= ?
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\n" ); document.write( "\n" ); document.write( "            The answer for the uniform width 180 ft, which @josgarithmetic derived in his post,\r
\n" ); document.write( "\n" ); document.write( "            is INCORRECT and TOTALLY ABSURDIST, since it does nor leave a room for the factory inside this lot.\r
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\n" ); document.write( "\n" ); document.write( "            I came to bring a correct solution and correct answer.\r
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document.write( "The outer dimensions of the lot are 270 ft by 300 ft.\r\n" );
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document.write( "The area of the lot is  270 x 360 = 97200 square feet.\r\n" );
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document.write( "The area of the factory must be half of it, i.e. 48600 square feet.\r\n" );
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document.write( "If u is the uniform width of the lawn, then the equation for the factory area is\r\n" );
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document.write( "    (270-2u)*(360-2u) = 48600.\r\n" );
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document.write( "Simplify and reduce to the standard quadratic equation form\r\n" );
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document.write( "    4u^2 - 2*270u - 2*360u + 97200 = 48600\r\n" );
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document.write( "    4u^2 - 1260u + 48600 = 0\r\n" );
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document.write( "     u^2 -  315u + 12150 = 0\r\n" );
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document.write( "Use the quadratic formula\r\n" );
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document.write( "     =  = .\r\n" );
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document.write( "Now, even by disarmed eyes, it is clear that   =  = 270 is inappropriate solution,\r\n" );
document.write( "since it is tooooo big, not leaving space/room for the factory.\r\n" );
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document.write( "The only remaining solution is  =  =  = 45 feet.\r\n" );
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document.write( "Thus the uniform width is 45 feet, and the dimensions of the factory should be\r\n" );
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document.write( "    270 - 2*45 = 180 feet  and  360 - 2*45 = 270 feet.    ANSWER\r\n" );
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document.write( "CHECK.  The factory area  180*270  square feet is EXCATLY HALF  of the lot area  360*270 square feet.  ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Now @josgarithmetic will be feverishly re-write his post, redoing calculations, to get into my numbers.\r
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\n" ); document.write( "\n" ); document.write( "I observe his activity at this forum during many years.\r
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\n" ); document.write( "\n" ); document.write( "Yet 3-4 years ago, his scores (the percentage of correctly solved problems) were 40 - 50%,\r
\n" ); document.write( "\n" ); document.write( "and I wrote about it in the forum, calling him \"pseudo\"-tutor.\r
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\n" ); document.write( "\n" ); document.write( "Now his scores are about 10%, and it is just another category.\r
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\n" ); document.write( "\n" ); document.write( "I know it very well, because I fixed wrong solutions after him every day several times per day.\r
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\n" ); document.write( "\n" ); document.write( "The conclusion is: you, the visitor, should not trust NO ONE problem, solved, answered and presented by him.\r
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\n" ); document.write( "\n" ); document.write( "Everything happened with his post as I predicted . . . \r
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