document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58191>Question 58191</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A small city park consists of a rectangular lawn surrounded on all sides by a 330m  sq. border of flowers 2.5m wide. Find the area of the lawn if the entire park is 5m longer than it is wide. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #39801 by </B><A HREF=/tutors/aboutme.mpl?userid=hayek><B>hayek(51)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=hayek><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=39801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" src=\"http://i13.tinypic.com/2cifr5k.jpg\" border=\"0\" alt=\"Diagram\"><BR>\n" );
document.write( "The border area is the area of the total park - the area of the lawn:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bb%5D=A%5Bp%5D-A%5Bl%5D ALIGN=MIDDLE  ALT=\"A%5Bb%5D=A%5Bp%5D-A%5Bl%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The problem tells us the area of the border is 330m^2.<BR>\n" );
document.write( "Eq.1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28330=A%5Bp%5D-A%5Bl%5D%29 ALIGN=MIDDLE  ALT=\"highlight%28330=A%5Bp%5D-A%5Bl%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The area of the park = length * width.<BR>\n" );
document.write( "Eq.2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bp%5D=l%2Aw ALIGN=MIDDLE  ALT=\"A%5Bp%5D=l%2Aw\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The problem tells us \"the entire park is 5m longer than it is wide\", which means: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=green%28l=w%2B5%29 ALIGN=MIDDLE  ALT=\"green%28l=w%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Plugging that into Eq.2:<BR>\n" );
document.write( "Eq. 3:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A%5Bp%5D=%28w%2B5%29%2Aw%29 ALIGN=MIDDLE  ALT=\"highlight%28A%5Bp%5D=%28w%2B5%29%2Aw%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Finally, from the diagram, you should be able to see that the area of the lawn is the area of a rectangle having the following dimensions:<BR>\n" );
document.write( "Lawn length=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l-5 ALIGN=MIDDLE  ALT=\"l-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > (because you subtract 2.5 from each end of the length)<BR>\n" );
document.write( "Lawn width=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w-5 ALIGN=MIDDLE  ALT=\"w-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > (same reason).\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bl%5D=%28l-5%29%2A%28w-5%29 ALIGN=MIDDLE  ALT=\"A%5Bl%5D=%28l-5%29%2A%28w-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but we know <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=w%2B5 ALIGN=MIDDLE  ALT=\"l=w%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, therefore:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bl%5D=%28w%2B5-5%29%28w-5%29 ALIGN=MIDDLE  ALT=\"A%5Bl%5D=%28w%2B5-5%29%28w-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Eq. 4: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bl%5D=highlight%28w%2A%28w-5%29%29 ALIGN=MIDDLE  ALT=\"A%5Bl%5D=highlight%28w%2A%28w-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Now, we have enough to solve for w by plugging Eq. 4 and Eq. 3 into Eq. 1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=330=%28%28w%2B5%29%2Aw%29-%28w%28w-5%29%29 ALIGN=MIDDLE  ALT=\"330=%28%28w%2B5%29%2Aw%29-%28w%28w-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's solve this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=330=w%5E2%2B5w-%28w%5E2-5w%29 ALIGN=MIDDLE  ALT=\"330=w%5E2%2B5w-%28w%5E2-5w%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=330=w%5E2%2B5w-w%5E2%2B5w ALIGN=MIDDLE  ALT=\"330=w%5E2%2B5w-w%5E2%2B5w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=330=10w ALIGN=MIDDLE  ALT=\"330=10w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28w=33%29 ALIGN=MIDDLE  ALT=\"highlight%28w=33%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----<BR>\n" );
document.write( "The problem asks for the area of the lawn.  Eq. 4 gives us the area of the lawn, so let's use that:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bl%5D=%2833%29%2833-5%29 ALIGN=MIDDLE  ALT=\"A%5Bl%5D=%2833%29%2833-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A%5Bl%5D=924m%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%28A%5Bl%5D=924m%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
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