document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100465>Question 100465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the sides of a square picture frame are increased by 5 cm, the area becomes 289 cm^2.  Find the length of a side of the original picture frame. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73148 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=73148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the original side length be x.Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%5E2+=+289 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%5E2+=+289\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B10x%2B25+=+289 ALIGN=MIDDLE  ALT=\"x%5E2%2B10x%2B25+=+289\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 289 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B10x-264+=+0 ALIGN=MIDDLE  ALT=\"x%5E2%2B10x-264+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve this quadratic equation for x by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-12%29%28x%2B22%29+=+0 ALIGN=MIDDLE  ALT=\"%28x-12%29%28x%2B22%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-12+=+0 ALIGN=MIDDLE  ALT=\"x-12+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+12 ALIGN=MIDDLE  ALT=\"x+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B22+=+0 ALIGN=MIDDLE  ALT=\"x%2B22+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-22 ALIGN=MIDDLE  ALT=\"x+=+-22\"   DISABLED_style= \"max-width:90%; height:auto;\" > Discard the negative solution as the side length is a positive value.<BR>\n" );
document.write( "The original side length is 12 cm.\r<BR>\n" );
document.write( "\n" );
document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%5E2+=+%2812%2B5%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%5E2+=+%2812%2B5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17%5E2+=+289 ALIGN=MIDDLE  ALT=\"17%5E2+=+289\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );