document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=998674>Question 998674</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A graphic artist is designing a poster that consists of a rectangular print with a uniform border.The print is to be twice as tall as it width , and the border is to be 3 inches wide. If the area of the poster is to be 680 in^2,find the dimensions of the print. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #616442 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=616442\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The entire poster is the print plus the border.  First assign variables to everything.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28h=heightPrint%2Cw=widthPrint%2Cu=widthBorder%2CA=areaPoster%29 ALIGN=MIDDLE  ALT=\"system%28h=heightPrint%2Cw=widthPrint%2Cu=widthBorder%2CA=areaPoster%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "These are the known values:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28u=3%2CA=680%29 ALIGN=MIDDLE  ALT=\"system%28u=3%2CA=680%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Description gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=2w ALIGN=MIDDLE  ALT=\"h=2w\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The entire poster includes the border and is the area A.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hihlight_green%28%28h%2B2u%29%28w%2B2u%29=A%29 ALIGN=MIDDLE  ALT=\"hihlight_green%28%28h%2B2u%29%28w%2B2u%29=A%29\"   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=hw%2B2uw%2B2hw%2B4u%5E2-A=0 ALIGN=MIDDLE  ALT=\"hw%2B2uw%2B2hw%2B4u%5E2-A=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w%2Aw%2B2uw%2B2%2A2w%2Aw%2B4u%5E2-A=0 ALIGN=MIDDLE  ALT=\"2w%2Aw%2B2uw%2B2%2A2w%2Aw%2B4u%5E2-A=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6w%5E2%2B2uw%2B4u%5E2-A=0 ALIGN=MIDDLE  ALT=\"6w%5E2%2B2uw%2B4u%5E2-A=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >------quadratic equation in unknown, w.  Remember, w is the width of the PRINT.\r<BR>\n" );
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document.write( "Keep going like this in all symbols if you want, but now is a good place to substitute the known values and simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6w%5E2%2B2%2A3%2Aw%2B4%2A9-680=0 ALIGN=MIDDLE  ALT=\"6w%5E2%2B2%2A3%2Aw%2B4%2A9-680=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6w%5E2%2B6w-644=0 ALIGN=MIDDLE  ALT=\"6w%5E2%2B6w-644=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%283w%5E2%2B3w-322=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%283w%5E2%2B3w-322=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Discriminant, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2B4%2A3%2A322=9%2B12%2A322=3873 ALIGN=MIDDLE  ALT=\"9%2B4%2A3%2A322=9%2B12%2A322=3873\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3873=3%2A1291 ALIGN=MIDDLE  ALT=\"3873=3%2A1291\"   DISABLED_style= \"max-width:90%; height:auto;\" >, being two PRIME factors, so just stay with  3873 as discriminant.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28w=%28-3%2Bsqrt%283873%29%29%2F%282%2A3%29%29 ALIGN=MIDDLE  ALT=\"highlight%28w=%28-3%2Bsqrt%283873%29%29%2F%282%2A3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the width of the PRINT (not the poster).  You can compute this and then finish finding the height, h. </SPAN>\n" );
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