document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78862>Question 78862</A>: <I><SPAN STYLE=\"word-break: break-all;\"> d...ch10\r<BR>\n" );
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document.write( "A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30ft by 40ft. The total area, garden plus walkway, is to be 1800ft^2. What must be the width of the walkway to the nearest thousandth? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56579 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=56579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30ft by 40ft. The total area, garden plus walkway, is to be 1800ft^2. What must be the width of the walkway to the nearest thousandth?<BR>\n" );
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document.write( "Let x = width of the walkway<BR>\n" );
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document.write( "Draw this out labeling the walkway width as x, and the inner rectangle<BR>\n" );
document.write( "representing the garden as 30 by 40. It will be apparent that the overall<BR>\n" );
document.write( "dimensions will be (2x+30) by (2x+40), the area of that is given as 1800 sqft<BR>\n" );
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document.write( "(2x + 30) * (2x + 40) = 1800<BR>\n" );
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document.write( "FOIL<BR>\n" );
document.write( "4x^2 + 140x + 1200 = 1800<BR>\n" );
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document.write( "4x^2 + 140x + 1200 - 1800 = 0<BR>\n" );
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document.write( "4x^2 + 140x - 600 = 0<BR>\n" );
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document.write( "Simplify, divide eq by 4 and you have:<BR>\n" );
document.write( "x^2 + 35x - 150 = 0<BR>\n" );
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document.write( "Use the quadratic formula to find x: a=1; b=35; c=-150<BR>\n" );
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document.write( "You will get two solutions; -38.86 and +3.86, obviously it's x = 3.86<BR>\n" );
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document.write( "3.86 ft is the width of the walkway<BR>\n" );
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document.write( "Check it:<BR>\n" );
document.write( "2x = 2(3.86) = 7.72<BR>\n" );
document.write( "So we have:<BR>\n" );
document.write( "37.72 * 47.72 = 1799.998 ~ 1800 sq ft<BR>\n" );
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document.write( "How about this? Did it make sense to you? Any questions  </SPAN>\n" );
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