document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=967416>Question 967416</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A picture 16 inches by 23 to be mounted on a piece of mat board so that there is an even amount of mat all around the picture. How wide will the border be if the area of the border is 270 square inches? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591281 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=591281\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> More general...<BR>\n" );
document.write( "Picture dimensions x and y mounted on a mat board; uniform mat width w around the picture; mat border area is A.\r<BR>\n" );
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document.write( "You want to solve for w. <BR>\n" );
document.write( "x, y, A, are known.\r<BR>\n" );
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document.write( "Total area minus picture area is the surrounding border area:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2w%29%28y%2B2w%29-xy=A ALIGN=MIDDLE  ALT=\"%28x%2B2w%29%28y%2B2w%29-xy=A\"   DISABLED_style= \"max-width:90%; height:auto;\" >, main starting equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy%2B2yw%2B2xw%2B4w%5E2-xy=A ALIGN=MIDDLE  ALT=\"xy%2B2yw%2B2xw%2B4w%5E2-xy=A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2yw%2B2xw%2B4w%5E2-A=0 ALIGN=MIDDLE  ALT=\"2yw%2B2xw%2B4w%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=yw%2Bxw%2B2w%5E2-A=0 ALIGN=MIDDLE  ALT=\"yw%2Bxw%2B2w%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%5E2%2B%28y%2Bx%29w-A=0 ALIGN=MIDDLE  ALT=\"2w%5E2%2B%28y%2Bx%29w-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=w=%28-%28x%2By%29%2B-+sqrt%28%28x%2By%29%5E2-4%2A2%2AA%29%29%2F%282%2A2%29 ALIGN=MIDDLE  ALT=\"w=%28-%28x%2By%29%2B-+sqrt%28%28x%2By%29%5E2-4%2A2%2AA%29%29%2F%282%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, general solution of quadratic equation;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28w=%28-x-y%2B-+sqrt%28%28x%2By%29%5E2-8A%29%29%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28w=%28-x-y%2B-+sqrt%28%28x%2By%29%5E2-8A%29%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute according to<BR>\n" );
document.write( "x=16<BR>\n" );
document.write( "y=23<BR>\n" );
document.write( "A=270<BR>\n" );
document.write( "and pick the positive result. </SPAN>\n" );
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