document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970358>Question 970358</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Joe Goodnuff had been eating on a square card table until he bought a new rectangular dining table. The new table is 2 ft longer and 1 ft wider than the card table. It has an area of 24.75 ft^2. How long was a side of his old square card table? Use the quadratic equation to solve this word problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #593027 by </B><A HREF=/tutors/aboutme.mpl?userid=amarjeeth123><B>amarjeeth123(569)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amarjeeth123><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=593027\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the dimensions of the square card table be x.<BR>\n" );
document.write( "Then the length of the rectangular table is (x+2).<BR>\n" );
document.write( "Then the width of the rectangular table is (x+1).<BR>\n" );
document.write( "We have Area=Length*width<BR>\n" );
document.write( "(x+2)(x+1)=24.75<BR>\n" );
document.write( "x^2+3x+2=24.75<BR>\n" );
document.write( "x^2+3x-22.75=0<BR>\n" );
document.write( "x^2+6.5x-3.5x-22.75=0<BR>\n" );
document.write( "x(x+6.5)-3.5(x+6.5)=0<BR>\n" );
document.write( "(x+6.5)(x-3.5)=0<BR>\n" );
document.write( "x=3.5 ft.<BR>\n" );
document.write( "The side of the old square table is 3.5 feet. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );