document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=282703>Question 282703</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A certain rectangle's length is 5 feet longer than its width. If the area of the rectangle is 50 square feet, find its larger dimension </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #205234 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=205234\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> L = length<BR>\n" );
document.write( "W = width<BR>\n" );
document.write( "Area= L*W, for a rectangle<BR>\n" );
document.write( "A = 50 ft^2  :: given<BR>\n" );
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document.write( "L = W + 5  :: Length is 5 ft longer than the width, so you have to add 5 to W to make them equal<BR>\n" );
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document.write( "Substitute L=W+5<BR>\n" );
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document.write( "(W+5) * W = 50<BR>\n" );
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document.write( "Collect and simplify<BR>\n" );
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document.write( "W^2 + 5W = 50<BR>\n" );
document.write( "W^2 + 5W - 50 = 0<BR>\n" );
document.write( "(W + 10)(W - 5) = 0<BR>\n" );
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document.write( "So our candidate solutions are W= -10 and W=5.  <BR>\n" );
document.write( "But a negative width is nonsensical, so our only practical option is W=5.<BR>\n" );
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document.write( "Substituting W=5, we can find L.<BR>\n" );
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document.write( "L = W+5<BR>\n" );
document.write( "L = 5+5 = 10<BR>\n" );
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document.write( "Checking the answer, we see<BR>\n" );
document.write( "5*10 = 50, which matches the setup<BR>\n" );
document.write( "10 = 5+5, which also matches the setup<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "The larger dimension is the length, which is 10.<BR>\n" );
document.write( "The width is 5.<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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