document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=191521>Question 191521</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangular garden is 9 feet longer than its width. If the garden's perimeter is 206 feet, what is the area of the garden in square feet? \r<BR>\n" );
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document.write( "A factory is to be built on a lot measuring 180 ft by 240 ft. A local building code specifies that a lawn of uniform width and equal in area to the factory must surround the factory.<BR>\n" );
document.write( "What must the width of the lawn be?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143788 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=143788\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first  problem\r<BR>\n" );
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document.write( "per  =  206  =  (2*l) +   (2*w)  =  2( w + 9)  +  2(w) =  2w  + 18  +  2w =  4w  +18\r<BR>\n" );
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document.write( "substr  18  from  both  sides\r<BR>\n" );
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document.write( "188  =  4w\r<BR>\n" );
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document.write( "divide  each  side  by  4\r<BR>\n" );
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document.write( "w =  47\r<BR>\n" );
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document.write( "check  per  =  206  =  2  (  47  +  (47 + 9)  )  =  206  ok\r<BR>\n" );
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document.write( "Area  =  l *  w  =  47  *  (  47  + 9)  =  47 * 56  =  2632\r<BR>\n" );
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document.write( "problem  2\r<BR>\n" );
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document.write( "area  =  l *  w  =  180  *  240  =  43200    \r<BR>\n" );
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document.write( "factory  area  is  then  43200  /  2  =  21600     as  is  green  belt  area\r<BR>\n" );
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document.write( "factory  dim  are  (  180-2w)  by  (240 -2w)  \r<BR>\n" );
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document.write( "factory  area  =  l*w  =  (180-2w)  *  (240-2w)\r<BR>\n" );
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document.write( "21600=180 *240 -2*180*w -2*240*w +4w^2\r<BR>\n" );
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document.write( "21600 = 43200 -360w -480w  +4w^2\r<BR>\n" );
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document.write( "subst  21600  both  sides\r<BR>\n" );
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document.write( "0  =  21600 -840w +4w^2\r<BR>\n" );
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document.write( "factor    0=  4( w^2  -210 w  +5400)\r<BR>\n" );
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document.write( "solve  using  quadratic  formula\r<BR>\n" );
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document.write( "w  =    (     -(-210)  +-  sq  rt  (   (-210)^2 - 4 (1) (5400)  )  )  /2 (1)\r<BR>\n" );
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document.write( "w=  (  210  +-  150  )  /2\r<BR>\n" );
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document.write( "w=   360/2=180   to  big   not  realistic\r<BR>\n" );
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document.write( "or  w =  60/2  =  30\r<BR>\n" );
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document.write( "this  makes  factory  size   (180-2*30)  =  120  by  (240  -2*30)  =  180\r<BR>\n" );
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document.write( "checking  180 * 120  =  21600  ok   </SPAN>\n" );
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