document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=988221>Question 988221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A childrens park is 3500m long and 200m wide. It is sorrounded by a pathway of uniform width. Suppose the total area of the park and the pathway is 74,464mē. How wide is the pathways. Thank you<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #608814 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=608814\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A childrens park is L long and w wide. It is sorrounded by a pathway of uniform width, u.<BR>\n" );
document.write( "Suppose the total area of the park and the pathway is T square meters. How wide is the pathway?\r<BR>\n" );
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document.write( "VARIABLES<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28L=3500%2Cw=200%2CT=74464%2Cu=unknown%29 ALIGN=MIDDLE  ALT=\"system%28L=3500%2Cw=200%2CT=74464%2Cu=unknown%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Park Area, wL<BR>\n" );
document.write( "Combined Park Area and Pathway, (w+2u)(L+2u)<BR>\n" );
document.write( "Combined Park Area and Pathway, T<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28highlight%28%28w%2B2u%29%28L%2B2u%29=T%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28highlight%28%28w%2B2u%29%28L%2B2u%29=T%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----Basic Starting Equation in Symbolic Form\r<BR>\n" );
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document.write( "STEPS TOWARD SOLVING FOR u<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=wL%2B2Lu%2B2wu%2B4u%5E2-T=0 ALIGN=MIDDLE  ALT=\"wL%2B2Lu%2B2wu%2B4u%5E2-T=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=wL%2B%282L%2B2w%29u%2B4u%5E2-T=0 ALIGN=MIDDLE  ALT=\"wL%2B%282L%2B2w%29u%2B4u%5E2-T=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%284u%5E2%2B%282L%2B2w%29u%2BwL-T=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%284u%5E2%2B%282L%2B2w%29u%2BwL-T=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----Quadratic equation in the unknown variable, u.\r<BR>\n" );
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document.write( "Continue as far as you can or want in purely symbolic form, and substitute the given values<BR>\n" );
document.write( "when you are ready to finish.  The question asks for u, the value of the uniform pathway width.\r<BR>\n" );
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document.write( "----<BR>\n" );
document.write( "If you continue to find u completely symbolically, you should find the formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28u=%28-L-w%2Bsqrt%28L%5E2-2wL%2Bw%5E2%2B4T%29%29%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28u=%28-L-w%2Bsqrt%28L%5E2-2wL%2Bw%5E2%2B4T%29%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is simplification from the general formula of a quadratic equation. </SPAN>\n" );
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