document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119472>Question 119472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Construction. A garden area is 30 ft long and 20 ft wide. a path of uniform width is set around the edge. If the remaining garden area is 400 ft^2 , what is the width of the path? \r<BR>\n" );
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document.write( "So if I squared 20, 30, 400 And I get something like 30 ft, would I be terribly wrong? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87510 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=87510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I THINK YOU BEST APPROACH ON WORD PROBLEMS IS TO LAY THEM OUT IN AN ORDERLY  FASHION IDENTIFYING WHAT NEEDS TO BE DETERMINED AS YOU GO.  I HAVE TRIED TO DO THIS BELOW:<BR>\n" );
document.write( "Area(A)=Length(l) times Width(w) or A=l*w\r<BR>\n" );
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document.write( "Let w=the uniform width of the path. Note that the path is inside the original garden\r<BR>\n" );
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document.write( "Note: draw the garden and path and the statement below will be obvious.<BR>\n" );
document.write( "Area of garden after path is put in= (20-2w)*(30-2w) =600-100w+4w^2 and this we are told equals 400 ft^2. So:\r<BR>\n" );
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document.write( "600-100w+4w^2=400  subtract 400 from both sides\r<BR>\n" );
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document.write( "600-400-100w+4w^2=400-400  collect like terms\r<BR>\n" );
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document.write( "4w^2-100w+200=0  divide each term by 4\r<BR>\n" );
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document.write( "w^2-25w+50=0  quadratic in standard form.  Solve using the quadratic formula:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2825+%2B-+sqrt%28+425%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%2825+%2B-+sqrt%28+425%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2825+%2B-+20.6%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%2825+%2B-+20.6%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2825+%2B+20.6%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%2825+%2B+20.6%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2845.6%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%2845.6%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=22.8 ALIGN=MIDDLE  ALT=\"x=22.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft----------------------too large-- gives a negative value for length and width--- not a correct answer<BR>\n" );
document.write( "and<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2825+-+20.6%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%2825+-+20.6%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%284.4%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%284.4%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2.2 ALIGN=MIDDLE  ALT=\"x=2.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft----ans<BR>\n" );
document.write( "(30-2*2.2)(20-2*2.2)=400<BR>\n" );
document.write( "(30-4.4)(20-4.4)=400<BR>\n" );
document.write( "25.6*15.6=400\r<BR>\n" );
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document.write( "~~~400=400\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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