document.write( "Question 1084316: A square lawn is bounded on three sides by a path 4 m wide if the area of the path is 7/8 that of the lawn find the dimensions of the lawn \n" ); document.write( "

Algebra.Com's Answer #698417 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let \"x\" be the unknown side of the lawn.\r\n" );
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document.write( "A square lawn surrounded on three sides by the path 4 m wide is a rectangle of dimensions (x + 2*4) = (x+8) and (x+4) meters.\r\n" );
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document.write( "The area of this rectangle is (x+8)*(x+4) m^2.\r\n" );
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document.write( "Then the area of the path is  =  = 12x + 32 m^2.\r\n" );
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document.write( "The condition says that\r\n" );
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document.write( "12x + 32 = .\r\n" );
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document.write( "It is\r\n" );
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document.write( " = 0.\r\n" );
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document.write( "Solve this quadratic equation for x.\r\n" );
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document.write( "Answer.  x = 16 m.\r\n" );
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