document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1067765>Question 1067765</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a rectangular garden has the width of 5 feet and a length of 10 feet. if an equal amount is added to both the width and length, the area is increased to 126 square feet. what is this amount? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #682881 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=682881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (5+x)*(10+x) = 126<BR>\n" );
document.write( "rewrite:<BR>\n" );
document.write( "(x+5)(x+10) = 126<BR>\n" );
document.write( "x^2+15x+50 = 126<BR>\n" );
document.write( "x^2+15x-76 = 0<BR>\n" );
document.write( "(x-4)(x+19) = 0<BR>\n" );
document.write( "split in two:<BR>\n" );
document.write( "x-4 = 0 or x+19 = 0<BR>\n" );
document.write( "x = 4 or x = -19<BR>\n" );
document.write( "We are not looking for a negative number, so let's set the -19 aside and try the 4:<BR>\n" );
document.write( "(5+4)(10+4) = 126<BR>\n" );
document.write( "9*14 = 126 Correct<BR>\n" );
document.write( ":<BR>\n" );
document.write( "John </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );