document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=931564>Question 931564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the length of a rectangle is 180cm greater than its width. were the width 60cm less and the length 90 cm greater, the area would be the same as before. Find the larger side </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #565725 by </B><A HREF=/tutors/aboutme.mpl?userid=Stitch><B>Stitch(470)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Stitch><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=565725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation for the area of a rectangle is: A = LxW<BR>\n" );
document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+W+%2B+180 ALIGN=MIDDLE  ALT=\"L+=+W+%2B+180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+%2A+W+=+A ALIGN=MIDDLE  ALT=\"L+%2A+W+=+A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation 3: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28L%2B90%29%2A%28W-60%29+=+A ALIGN=MIDDLE  ALT=\"%28L%2B90%29%2A%28W-60%29+=+A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Note that the areas of both rectangles are the same so we can set them equal to each other.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2AW+=+%28L%2B90%29%2A%28W-60%29 ALIGN=MIDDLE  ALT=\"L%2AW+=+%28L%2B90%29%2A%28W-60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From equation 1, we now that L = W + 180.<BR>\n" );
document.write( "Plug (W + 180) into the equation for L<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W%2B180%29%2AW+=+%28%28W%2B180%29%2B90%29%2A%28W-60%29 ALIGN=MIDDLE  ALT=\"%28W%2B180%29%2AW+=+%28%28W%2B180%29%2B90%29%2A%28W-60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2+%2B+180W+=+%28W+%2B+270%29%2A%28W-60%29 ALIGN=MIDDLE  ALT=\"W%5E2+%2B+180W+=+%28W+%2B+270%29%2A%28W-60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can use FOIL on the right side of the equation.<BR>\n" );
document.write( "ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'foil'.\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\n" );
document.write( " <TR><TD >Error occurred executing solver 'foil' .</TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT></TD></TR>\n" );
document.write( "</TABLE><BR>\n" );
document.write( "\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "Rewrite the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2+%2B+180W+=+W%5E2+%2B+210W+-+16200 ALIGN=MIDDLE  ALT=\"W%5E2+%2B+180W+=+W%5E2+%2B+210W+-+16200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2 ALIGN=MIDDLE  ALT=\"W%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180W+=+210W+-+16200 ALIGN=MIDDLE  ALT=\"180W+=+210W+-+16200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 180W from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+30W+-+16200 ALIGN=MIDDLE  ALT=\"0+=+30W+-+16200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Add 16200 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16200+=+30W ALIGN=MIDDLE  ALT=\"16200+=+30W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by 30<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28540cm+=+W%29 ALIGN=MIDDLE  ALT=\"highlight%28540cm+=+W%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Now plug 540 into equation 1 for W<BR>\n" );
document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+W+%2B+180 ALIGN=MIDDLE  ALT=\"L+=+W+%2B+180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+%28540%29+%2B+180 ALIGN=MIDDLE  ALT=\"L+=+%28540%29+%2B+180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28L+=+720cm%29 ALIGN=MIDDLE  ALT=\"highlight_green%28L+=+720cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );