document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144734>Question 144734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One of my biggest problems in algebra is figuring how to turn a word problem into a solution so that i can solve it. For instance, A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 250 ft diagonally.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105469 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=105469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let W=width, L=length\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Since the \"parking lot is 50 ft longer than it is wide\", this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=W%2B50 ALIGN=MIDDLE  ALT=\"L=W%2B50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2%2BW%5E2=250%5E2 ALIGN=MIDDLE  ALT=\"L%5E2%2BW%5E2=250%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with Pythagoreans theorem\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W%2B50%29%5E2%2BW%5E2=250%5E2 ALIGN=MIDDLE  ALT=\"%28W%2B50%29%5E2%2BW%5E2=250%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=W%2B50 ALIGN=MIDDLE  ALT=\"L=W%2B50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2%2B100W%2B2500%2BW%5E2=62500 ALIGN=MIDDLE  ALT=\"W%5E2%2B100W%2B2500%2BW%5E2=62500\"   DISABLED_style= \"max-width:90%; height:auto;\" > Foil <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W%2B50%29%5E2 ALIGN=MIDDLE  ALT=\"%28W%2B50%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Square 250 to get 62,500. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2%2B100W%2B2500%2BW%5E2-62500=0 ALIGN=MIDDLE  ALT=\"W%5E2%2B100W%2B2500%2BW%5E2-62500=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 62,500 from both sides\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2W%5E2%2B100W-60000=0 ALIGN=MIDDLE  ALT=\"2W%5E2%2B100W-60000=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28W%2B200%29%28W-150%29=0 ALIGN=MIDDLE  ALT=\"2%28W%2B200%29%28W-150%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the left side (note: if you need help with factoring, check out this <a  rel=nofollow HREF=http://www.algebra.com/algebra/homework/playground/change-this-name4450.solver>solver</a>)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now set each factor equal to zero:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%2B200=0 ALIGN=MIDDLE  ALT=\"W%2B200=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W-150=0 ALIGN=MIDDLE  ALT=\"W-150=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=-200 ALIGN=MIDDLE  ALT=\"W=-200\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=150 ALIGN=MIDDLE  ALT=\"W=150\"   DISABLED_style= \"max-width:90%; height:auto;\" >    Now solve for W in each case\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So our answer is \r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=-200 ALIGN=MIDDLE  ALT=\"W=-200\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=150 ALIGN=MIDDLE  ALT=\"W=150\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Discarding the negative width, the only answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=150 ALIGN=MIDDLE  ALT=\"W=150\"   DISABLED_style= \"max-width:90%; height:auto;\" > . So the width is 150 feet.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=W%2B50 ALIGN=MIDDLE  ALT=\"L=W%2B50\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the first equation\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=150%2B50 ALIGN=MIDDLE  ALT=\"L=150%2B50\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=150 ALIGN=MIDDLE  ALT=\"W=150\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=200 ALIGN=MIDDLE  ALT=\"L=200\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the width is 150 feet and the length is 200 feet </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );