document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42172>Question 42172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am stuck on this word problem and greatly need assistance!  Thank you\r<BR>\n" );
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document.write( "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 400ft^2, what is the width of the path? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27356 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27356\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well let the path have a width x.<BR>\n" );
document.write( "Then the garden with the path will have a length 30 + 2x and a width 20 + 2x.<BR>\n" );
document.write( "Since the new area is 400, we have<BR>\n" );
document.write( "A = LW<BR>\n" );
document.write( "400 = (30 + 2x)(20 + 2x)<BR>\n" );
document.write( "400 = 600 + 60x + 40x + 4x^2<BR>\n" );
document.write( "now rearrange and get<BR>\n" );
document.write( "4x^2 + 100x + 200 = 0<BR>\n" );
document.write( "x^2 + 25x + 50 = 0 <BR>\n" );
document.write( "this does not factor so we use the quadratic<BR>\n" );
document.write( "x = (-25 ± sqrt(625-200)) / 2<BR>\n" );
document.write( "x = (-25 ± sqrt(425)) / 2<BR>\n" );
document.write( "there does not seem to be a solution that works...perhaps you need to rephrase the problem correctly... </SPAN>\n" );
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