document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=602757>Question 602757</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of the rectangular piece of cardboard shown on the left is 171 square inches. The cardboard is used to make an open box by cutting a 2 inch square from each corner and turning up the sides. If the box is to have a volume of 150 cubic inches, find the length and width of the cardboard that must be used. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #380399 by </B><A HREF=/tutors/aboutme.mpl?userid=alicealc><B>alicealc(293)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=alicealc><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=380399\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> assume that the rectangular piece of cardboard has length of L and width of W\r<BR>\n" );
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document.write( "L*W = 171<BR>\n" );
document.write( "so L = 171/W\r<BR>\n" );
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document.write( "if the cardboard is cut 2 inch square each, the dimension of the box will be:<BR>\n" );
document.write( "(L - 2*2)*(W - 2*2)*2 (length * width * height)\r<BR>\n" );
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document.write( "Volume of the box:<BR>\n" );
document.write( "V = length * width * height<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150+=+%28171%2FW+-+4%29%2A%28W+-+4%29%2A2 ALIGN=MIDDLE  ALT=\"150+=+%28171%2FW+-+4%29%2A%28W+-+4%29%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%2F2+=+%28171%2FW+-+4%29%2A%28W+-+4%29 ALIGN=MIDDLE  ALT=\"150%2F2+=+%28171%2FW+-+4%29%2A%28W+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75+=+171+-+684%2FW+-+4W+%2B+16 ALIGN=MIDDLE  ALT=\"75+=+171+-+684%2FW+-+4W+%2B+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(multiply all by W)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75W+=+171W+-+684+-4W%5E2+%2B+16W ALIGN=MIDDLE  ALT=\"75W+=+171W+-+684+-4W%5E2+%2B+16W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4W%5E2+%2B+75W+-+171W+-+16W+%2B+684+=+0 ALIGN=MIDDLE  ALT=\"4W%5E2+%2B+75W+-+171W+-+16W+%2B+684+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4W%5E2+-+112W++%2B+684+=+0 ALIGN=MIDDLE  ALT=\"4W%5E2+-+112W++%2B+684+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(divide all by 4)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2+-+28W+%2B+171+=+0 ALIGN=MIDDLE  ALT=\"W%5E2+-+28W+%2B+171+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W+-+9%29%2A%28W+-+19%29+=+0 ALIGN=MIDDLE  ALT=\"%28W+-+9%29%2A%28W+-+19%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "W - 9 = 0 or W - 19 = 0<BR>\n" );
document.write( "W = 9 or W = 19<BR>\n" );
document.write( "L = 171/9 = 19 or L = 171/19 = 9\r<BR>\n" );
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document.write( "so, the length and width of the cardboard used are 19 inch and 9 inch\r<BR>\n" );
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document.write( " </SPAN>\n" );
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