document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=427200>Question 427200</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to find a way to solve this problem.\r<BR>\n" );
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document.write( "A gravel path of equal width is to be built around a 8' by 8' square garden. How wide can the path be if there is enough gravel for 80 square ft? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #297079 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><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=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=297079\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, <BR>\n" );
document.write( "First draw a square to show the garden which is 8 ft by 8 ft. Now draw a path around it. Let's have 2x+8 represent each side of the square. We can set up an equation as:<BR>\n" );
document.write( "(2x+8)(2x+8)=144 sq ft<BR>\n" );
document.write( "Expand this out to:<BR>\n" );
document.write( "4x^2+32x+64=144<BR>\n" );
document.write( "Subtract 144 from both side to get:<BR>\n" );
document.write( "4x^2+32x-80=0<BR>\n" );
document.write( "Factor this to:<BR>\n" );
document.write( "(2x-4)(2x+20)=0<BR>\n" );
document.write( "Solve for x:<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "x=-10<BR>\n" );
document.write( "The only reasonable answer is 2.<BR>\n" );
document.write( "Now we know the path is 2 feet wide going around the garden. <BR>\n" );
document.write( "work it out to see if this is correct. <BR>\n" );
document.write( "Make sense?<BR>\n" );
document.write( "RJ<BR>\n" );
document.write( "www.math-unlock.com </SPAN>\n" );
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