document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187292>Question 1187292</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm having trouble with setting up the equation of this word problem:\r<BR>\n" );
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document.write( "A rectangle piece of cardboard is 5 cm longer than it is wide. A 3 cm square is cut out of each corner. Then the four flaps are folded up to form a box without a lid. The volume of this box is 450 cubic cm. Find the length and width of the original piece of cardboard.\r<BR>\n" );
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document.write( "Thanks for the help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #818236 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=818236\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "the length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" > of rectangle piece of cardboard is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5cm ALIGN=MIDDLE  ALT=\"5cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >} longer than it is wide,<BR>\n" );
document.write( "<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;\" >\r<BR>\n" );
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document.write( "after cutting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3cm ALIGN=MIDDLE  ALT=\"3cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > (which will be the height of the box) square out of each corner, \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=W%2B5-6 ALIGN=MIDDLE  ALT=\"L=W%2B5-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=W-1 ALIGN=MIDDLE  ALT=\"L=W-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W-6 ALIGN=MIDDLE  ALT=\"W-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the height <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=3 ALIGN=MIDDLE  ALT=\"h=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then the four flaps are folded up to form a box without a lid. \r<BR>\n" );
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document.write( "The volume of this box is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=450cm%5E3 ALIGN=MIDDLE  ALT=\"V=450cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LWh=450cm%5E3 ALIGN=MIDDLE  ALT=\"LWh=450cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W-1%29%28W-6%29%2A3=450 ALIGN=MIDDLE  ALT=\"%28W-1%29%28W-6%29%2A3=450\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3W%5E2+-+21+W+%2B+18=450 ALIGN=MIDDLE  ALT=\"3W%5E2+-+21+W+%2B+18=450\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3W%5E2+-+21+W+%2B+18-450=0 ALIGN=MIDDLE  ALT=\"3W%5E2+-+21+W+%2B+18-450=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3W%5E2+-+21+W+-432=0 ALIGN=MIDDLE  ALT=\"3W%5E2+-+21+W+-432=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2+-+7W+-144=0 ALIGN=MIDDLE  ALT=\"W%5E2+-+7W+-144=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......using quadratic formula we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+-9 ALIGN=MIDDLE  ALT=\"W+=+-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=16 ALIGN=MIDDLE  ALT=\"W+=16\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> we need positive value for the width\r<BR>\n" );
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document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=16%2B5 ALIGN=MIDDLE  ALT=\"L=16%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=21 ALIGN=MIDDLE  ALT=\"L=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the length and width of the original piece of cardboard are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+21cm ALIGN=MIDDLE  ALT=\"+21cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16cm ALIGN=MIDDLE  ALT=\"16cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > respectively \r<BR>\n" );
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document.write( "proof:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2821-6%29%2A%2816-6%29%2A3=450 ALIGN=MIDDLE  ALT=\"%2821-6%29%2A%2816-6%29%2A3=450\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=450=450 ALIGN=MIDDLE  ALT=\"450=450\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );