document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964996>Question 964996</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular canvas picture measures 22 inches by 24 inches. The<BR>\n" );
document.write( "canvas is mounted inside a frame of uniform width, increasing the total<BR>\n" );
document.write( "area covered by both canvas and frame to 728 square inches. Find the<BR>\n" );
document.write( "uniform width of the frame. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #589762 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=589762\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You could assign variables to everything.\r<BR>\n" );
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document.write( "u, one dimension of the canvas<BR>\n" );
document.write( "v, other dimension of the canvas<BR>\n" );
document.write( "A, total area of frame plus canvas<BR>\n" );
document.write( "w, the uniform width of the border\r<BR>\n" );
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document.write( "You should draw a picture and label everything because this usually helps.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28A=%28u%2B2w%29%28v%2B2w%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28A=%28u%2B2w%29%28v%2B2w%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, main equation purely in symbolic form.  The unknown variable is w.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=uv%2B2vw%2B2uw%2B4w%5E2=A ALIGN=MIDDLE  ALT=\"uv%2B2vw%2B2uw%2B4w%5E2=A\"   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%282v%2B2u%29w%2Buv-A=0 ALIGN=MIDDLE  ALT=\"4w%5E2%2B%282v%2B2u%29w%2Buv-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=4w%5E2%2B%282u%2B2v%29w%2Buv-A=0 ALIGN=MIDDLE  ALT=\"4w%5E2%2B%282u%2B2v%29w%2Buv-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=highlight_green%284w%5E2%2B%282u%2B2v%29w%2B%28uv-A%29=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%284w%5E2%2B%282u%2B2v%29w%2B%28uv-A%29=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "You could continue in symbolic form to solve for w using general solution formula for a quadratic equation, but maybe more comfortable to substitute the given values NOW, and then use the general formula solution.<BR>\n" );
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document.write( "u=22<BR>\n" );
document.write( "v=24<BR>\n" );
document.write( "A=728 </SPAN>\n" );
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