document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128350>Question 128350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangular sign is 3feet longer than the width. If the sign has a area of 40 square feet for advertising , find its length and its width. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93962 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=93962\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let \"x\" ft be the width of the rectangle\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So lenght will be \"3 + x\"  ft \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Given area = 40 ft^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We know that the area of the rectangle is given by lenght times breadth \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "40 = x * (x + 3)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "40 = x^2 + 3x \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> x^2 + 3x - 40 = 0 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> by the method of factoring we find\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> x^2 + 8x - 5x - 40 =  0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> x(x + 8) - 5(x + 8) = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> x = 5 Or x = -8 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We dont consider the negative values of x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Therfore x = 5 ft will be the width\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "and x + 3 = 5 + 3 = 8ft will be the lenght of the rectangle\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "thus the solution </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );