document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1108943>Question 1108943</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A picture 9 inches and 8 inches is to be mounted on a piece of matboard so that there is an even amount of mat all around the picture. How wide will the boarder be if the area of the border is 124.<BR>\n" );
document.write( "I did this question for a quiz and I got it wrong. The answer that I got was 9. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #723951 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=723951\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Total area is area of picture (72)+ area of border (124)=196<BR>\n" );
document.write( "The picture is 9 x 8. The border is x wide<BR>\n" );
document.write( "The total area is therefore (9+2x)(8+2x) and that equals 196<BR>\n" );
document.write( "72+34x+4x^2=196<BR>\n" );
document.write( "4x^2+34x-124=0<BR>\n" );
document.write( "2x^2+17x-62=0<BR>\n" );
document.write( "quadratic formula is x=(1/4)(-17+/- sqrt (289+496); sqrt term is sqrt(785)=28.01<BR>\n" );
document.write( "x=(1/4)(-17+28.01) only positive root<BR>\n" );
document.write( "x=2.75 in ANSWER for width<BR>\n" );
document.write( "2x=5.50<BR>\n" );
document.write( "Whole thing is 14.5*13.5=195.75, area of border is 123.75, within rounding error to 124.\r<BR>\n" );
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