document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=237439>Question 237439</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Okay, my question is as follows:\r<BR>\n" );
document.write( "\n" );
document.write( "A team is to design a cover a box to hold a jigsaw puzzle.  The design will use 525 square cm.  The cardboard is precut to 29 cm x 33 cm.  The depth of the box (x) can vary to fit the needs of your cover design.  How deep should the box be in order to allow the area of 525 cm for your design?  I'm puzzled at how to set up this problem...please help me!  Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #174624 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=174624\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With these box problems, what they do,<BR>\n" );
document.write( "usually, is cut small squares out of the corners<BR>\n" );
document.write( "and then fold up the 4 equal height sides to <BR>\n" );
document.write( "make the box.<BR>\n" );
document.write( "So, I'll say that each of these 4 equal squares will have<BR>\n" );
document.write( "dimensions <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Ax+=+x%5E2 ALIGN=MIDDLE  ALT=\"x%2Ax+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm2<BR>\n" );
document.write( "To get the area of the bottom after the sides are<BR>\n" );
document.write( "folded up, I subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > from each side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2829+-+2x%29%2A%2833+-+2x%29+=+525 ALIGN=MIDDLE  ALT=\"%2829+-+2x%29%2A%2833+-+2x%29+=+525\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=957+-66x+-58x+%2B+4x%5E2+=+525 ALIGN=MIDDLE  ALT=\"957+-66x+-58x+%2B+4x%5E2+=+525\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=957+-+124x+%2B+4x%5E2+=+525 ALIGN=MIDDLE  ALT=\"957+-+124x+%2B+4x%5E2+=+525\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+-+124x+%2B+432+=+0 ALIGN=MIDDLE  ALT=\"4x%5E2+-+124x+%2B+432+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+31x+%2B+108+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+31x+%2B+108+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+1 ALIGN=MIDDLE  ALT=\"a+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-31 ALIGN=MIDDLE  ALT=\"b+=+-31\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+108 ALIGN=MIDDLE  ALT=\"c+=+108\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-31%29+%2B-+sqrt%28+%28-31%29%5E2-4%2A1%2A108+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-31%29+%2B-+sqrt%28+%28-31%29%5E2-4%2A1%2A108+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28+31+%2B-+sqrt%28+961+-+432+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28+31+%2B-+sqrt%28+961+-+432+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28+31+%2B-+sqrt%28+529+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28+31+%2B-+sqrt%28+529+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28+31+%2B-+23%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28+31+%2B-+23%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2831+-+23%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%2831+-+23%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+8%2F2 ALIGN=MIDDLE  ALT=\"x+=+8%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4 ALIGN=MIDDLE  ALT=\"x+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+31+%2B+23%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+31+%2B+23%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+54%2F2 ALIGN=MIDDLE  ALT=\"x+=+54%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+27 ALIGN=MIDDLE  ALT=\"x+=+27\"   DISABLED_style= \"max-width:90%; height:auto;\" > (can't be answer, too big)<BR>\n" );
document.write( "The box has to be 4 cm deep<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2829+-+2x%29%2A%2833+-+2x%29+=+525 ALIGN=MIDDLE  ALT=\"%2829+-+2x%29%2A%2833+-+2x%29+=+525\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2829+-+2%2A4%29%2A%2833+-+2%2A4%29+=+525 ALIGN=MIDDLE  ALT=\"%2829+-+2%2A4%29%2A%2833+-+2%2A4%29+=+525\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2829+-+8%29%2A%2833+-+8%29+=+525 ALIGN=MIDDLE  ALT=\"%2829+-+8%29%2A%2833+-+8%29+=+525\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2A25+=+525 ALIGN=MIDDLE  ALT=\"21%2A25+=+525\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=525+=+525 ALIGN=MIDDLE  ALT=\"525+=+525\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );