document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=130616>Question 130616</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131808583/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation: a playground is 25m x 40m. it is surrounded by a paved skating path of uniform width. the combined area of the playground and path is 1,426 square meters. how wide is 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 #95448 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=95448\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The area of the path is (draw the sketch):<BR>\n" );
document.write( "2*x*(40+2x)+2*25*x  simplifying<BR>\n" );
document.write( "80x+4x^2+50x  and this equals\r<BR>\n" );
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document.write( "4x^2+130x------------Area of the path\r<BR>\n" );
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document.write( "Area of the playground=40*25=1000 sq m<BR>\n" );
document.write( "Area of the path=1426-1000=426 sq m\r<BR>\n" );
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document.write( "So----4x^2+130x=426  subtract 426 from both sides\r<BR>\n" );
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document.write( "4x^2+130x-426=0   divide each term by 2\r<BR>\n" );
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document.write( "2x^2+65x-213=0  ----------------quadratic in standard form--solve using the quadratic formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%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+=+%28-65+%2B-+sqrt%28+65%5E2-4%2A2%2A%28-213%29+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-65+%2B-+sqrt%28+65%5E2-4%2A2%2A%28-213%29+%29%29%2F%282%2A2%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+=+%28-65+%2B-+77%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-65+%2B-+77%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Disregard the negative value for x; in this case, lengths are positive<BR>\n" );
document.write( "So:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=12%2F4=3 ALIGN=MIDDLE  ALT=\"x=12%2F4=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft-----------------width of the path\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "(25+6)(40+6)=1426<BR>\n" );
document.write( "31*46=1426<BR>\n" );
document.write( "1426=1426\r<BR>\n" );
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document.write( "Hope this helps---ptaylor<BR>\n" );
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document.write( " </SPAN>\n" );
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