document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=862707>Question 862707</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a rectangular garage that has an area of 198 ft, the length is 7 ft longer than the width, what is the length of the garage.? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #519923 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=519923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangle has an area A, and the length L is k longer than the width w.  What is L, or find a formula for L.  \r<BR>\n" );
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document.write( "Unknown variables are w and L.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=wL=A ALIGN=MIDDLE  ALT=\"wL=A\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=w%2Bk ALIGN=MIDDLE  ALT=\"L=w%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" >; using this formula for L, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=L-k ALIGN=MIDDLE  ALT=\"w=L-k\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Returning to the area relationship,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2AL=A ALIGN=MIDDLE  ALT=\"w%2AL=A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28L-k%29L=A ALIGN=MIDDLE  ALT=\"%28L-k%29L=A\"   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%5E2-kL-A=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28L%5E2-kL-A=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The numbers <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%3E0 ALIGN=MIDDLE  ALT=\"A%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%3E0 ALIGN=MIDDLE  ALT=\"k%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the usage of signs for the solution for L are unmistakable.  Use the solution for the general solution to a quadratic equation with the positive square root form.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=%28k%2Bsqrt%28k%5E2-4%2A%28-A%29%29%29%2F2 ALIGN=MIDDLE  ALT=\"L=%28k%2Bsqrt%28k%5E2-4%2A%28-A%29%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=%28k%2Bsqrt%28k%5E2%2B4A%29%29%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28L=%28k%2Bsqrt%28k%5E2%2B4A%29%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can make the substitutions of k=7 and A=198 and compute L. </SPAN>\n" );
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