document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824982>Question 824982</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 3 times it's width. Is both dimensions are increased by 2 centimeters, the area is 32 square centimeters. What was the original length? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496910 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=496910\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "x = length<BR>\n" );
document.write( "y = width<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 3y<BR>\n" );
document.write( "(x + 2)(y + 2) = 32<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(x + 2)(y + 2) = 32<BR>\n" );
document.write( "(3y + 2)(y + 2) = 32<BR>\n" );
document.write( "3yy + 6y + 2y + 4 = 32<BR>\n" );
document.write( "3yy + 8y - 28 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=3, b=8, and c=-28<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "3 8 -28<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "this quadratic has two real roots (the x-intercepts), which are:<BR>\n" );
document.write( "y = 2<BR>\n" );
document.write( "y = -4.66666667<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the negative root does not fit the problem statement, so use the positive root<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "x = length = 6 cm<BR>\n" );
document.write( "y = width = 2 cm<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );