document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97772>Question 97772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! can you please help me solve this problem out??<BR>\n" );
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document.write( "Al's flower garden measures 25 feet by 35 feet. He has enough crushed stone to cover 325 square feet. If he uses the stone to build a path around his garden, what is the maximum possible width of the path?\r<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 #71116 by </B><A HREF=/tutors/aboutme.mpl?userid=mathslover><B>mathslover(157)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathslover><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=mathslover><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=71116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the maximum possible width of the path\r<BR>\n" );
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document.write( "length of the garden including the path = 35 + 2x ( 2x because x for each side)<BR>\n" );
document.write( "width of the garden = 25  + 2x\r<BR>\n" );
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document.write( "total area of the garden with the path = (35+2x)(25+2x)<BR>\n" );
document.write( "also area of the garden without the path= 35* 25<BR>\n" );
document.write( "area of the path = (35+2x)(25+2x) - 35*25 <BR>\n" );
document.write( "Now the area should be less than or equal to 325 sq feet because that is the amount of crushed gravel Al has got.\r<BR>\n" );
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document.write( "For maximum path, area of the path = 325<BR>\n" );
document.write( "=> (35+2x)(25+2x) - 35*25 =325<BR>\n" );
document.write( "32*25 + 70x + 50x +4x^2  -35*25 = 325\r<BR>\n" );
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document.write( "4x^2 + 120x - 325=0\r<BR>\n" );
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document.write( "4x^2 + 130x -10x -325=0\r<BR>\n" );
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document.write( "2x(2x+65) - 5(2x+65)=0<BR>\n" );
document.write( "(2x+65)(2x-5)=0<BR>\n" );
document.write( "x=5/2  ignoring the negative -65/2\r<BR>\n" );
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document.write( "Maximum width of the path of 2.5m\r<BR>\n" );
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