document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=611936>Question 611936</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a painting measuring 12 inches by 18 inches is surrounded by a frame of uniform width. if the combined area of the painting and the frame is 432 square inches, determine the width of the frame <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 #385214 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=385214\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a painting measuring 12 inches by 18 inches is surrounded by a frame of uniform width. if the combined area of the painting and the frame is 432 square inches, determine the width of the frame <BR>\n" );
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document.write( "Let w = width of frame<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(12+2w)(18+2w) = 432<BR>\n" );
document.write( "216+24w+36w+4w^2 = 432<BR>\n" );
document.write( "216+60w+4w^2 = 432<BR>\n" );
document.write( "4w^2+60w+216 = 432<BR>\n" );
document.write( "4w^2+60w-216 = 0<BR>\n" );
document.write( "w^2+15w-54 = 0<BR>\n" );
document.write( "(w+18)(w-3) = 0<BR>\n" );
document.write( "w = {-18,3}<BR>\n" );
document.write( "throw out the negative solution (extraneous) leaving:<BR>\n" );
document.write( "w = 3 inches </SPAN>\n" );
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