document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=571712>Question 571712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if Area=5000<BR>\n" );
document.write( "   Length= 30+Width<BR>\n" );
document.write( "   then what is Width  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368185 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5347)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=368185\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> So as not to repeat the whole words \"length\" and \"width\" too many times, we abbreviate by saying<BR>\n" );
document.write( "Let L be the length, and let W be the width.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=W%2B30 ALIGN=MIDDLE  ALT=\"L=W%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area=L%2AW ALIGN=MIDDLE  ALT=\"Area=L%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area=%28W%2B30%29W ALIGN=MIDDLE  ALT=\"Area=%28W%2B30%29W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We get the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W%2B30%29W=5000 ALIGN=MIDDLE  ALT=\"%28W%2B30%29W=5000\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2%2B30W=5000 ALIGN=MIDDLE  ALT=\"W%5E2%2B30W=5000\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2%2B30W-5000=0 ALIGN=MIDDLE  ALT=\"W%5E2%2B30W-5000=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can find the solutions to that equation, applying the quadratic formula, as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28-30+%2B-+sqrt%28+30%5E2-4%2A1%2A%28-5000%29%29%29%2F%282%2A1%29=%28-30+%2B-+sqrt%28900%2B20000%29%29%2F2=%28-30+%2B-+sqrt%2820900%29%29%2F2=%28-30+%2B-+sqrt%28100%2A209%29%29%2F2=%28-30+%2B-+sqrt%28100%29%2Asqrt%28209%29%29%2F2=%28-30+%2B-+10sqrt%28209%29%29%2F2+=2%28-15+%2B-+5sqrt%28209%29%29%2F2=-15+%2B-+5sqrt%28209%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We need to discard the negative solution, because the width is a positive number, and we are left with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28W=-15+%2B+5sqrt%28209%29%29 ALIGN=MIDDLE  ALT=\"highlight%28W=-15+%2B+5sqrt%28209%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=-15+%2B+5sqrt%28209%29%2B30 ALIGN=MIDDLE  ALT=\"L=-15+%2B+5sqrt%28209%29%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=15+%2B+5sqrt%28209%29%29 ALIGN=MIDDLE  ALT=\"highlight%28L=15+%2B+5sqrt%28209%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Those values are not pretty, but are exact solutions. They cannot be written as exact decimals, but W = approximately 57.284 and L = approximately 87.284 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );