document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041078>Question 1041078</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle with an area of 500 feet has a length that is 30 feet longer than twice its width. How many feet is the length of the rectangle?\r<BR>\n" );
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document.write( "Having trouble figuring out these rectangle word problems, I'm terrible at coming up with the actual equation, any help is much appreciated.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656009 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=656009\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A=L*W<BR>\n" );
document.write( "L=2W+30, that is 30 more than 2W.<BR>\n" );
document.write( "A=(2W+30)*W=500 sq ft<BR>\n" );
document.write( "Now multiply this out<BR>\n" );
document.write( "2W^2+30W=500.  Notice that this looks like a quadratic, except it doesn't equal 0.<BR>\n" );
document.write( "subtract 500 on both sides<BR>\n" );
document.write( "2W^2+30W-500=0 Now it does.<BR>\n" );
document.write( "divide by 2.  You don't have to, but it makes it easier<BR>\n" );
document.write( "2(W^2+15W-250)=0<BR>\n" );
document.write( "since 2 can't equal 0,<BR>\n" );
document.write( "W^2+15W-250=0 (same as dividing by 2 both sides)<BR>\n" );
document.write( "facto, noting that 25 and 15 can make 10 if one is subtracted from the other.<BR>\n" );
document.write( "(W+25)(W-10)=0, set each of them equal to 0<BR>\n" );
document.write( "W=-25 feet, which makes no sense.<BR>\n" );
document.write( "W=10 feet<BR>\n" );
document.write( "The width is 10 feet<BR>\n" );
document.write( "the length is 2W+30=50 feet ANSWER.  Be sure that instead of W, you answer the question, which is the length.<BR>\n" );
document.write( "The area is 500 sq ft </SPAN>\n" );
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