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
\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= ? \n" ); document.write( "

Algebra.Com's Answer #816354 by MathTherapy(10552) $\"\"$ $\"About$

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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 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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Let uniform width of lawn be x
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document.write( "Then dimensions of factory are 270 - 2x and 360 - 2x, and its area is: (270 - 2x)(360 - 2x)
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document.write( "               2[(270 - 2x)(360 - 2x)] = 270(360)
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document.write( "               2[2(135 - x)2(180 - x)] = 2(135)(4)(90)
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document.write( "                   8(135 - x)(180 - x) = 8(135)(90)
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document.write( "                    (135 - x)(180 - x) = 135(90)
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document.write( "           
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document.write( "              x(x - 270) - 45(x - 270) = 0
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document.write( "              x - 45 = 0            or         x - 270 = 0 
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document.write( "Uniform width, or       or         x = 270 (ignore) \n" );
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