document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=975025>Question 975025</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me from this question ( one rectangle is ( 2x+1 ) units wide and ( 4+x ) units long. A second rectangle has a with of (x+9)units and length of (x+9) units.<BR>\n" );
document.write( "A. Which has the greater area?<BR>\n" );
document.write( "B. How much greater? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #596839 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=596839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (2x+1)(x+4) and (x+9)(x+9) areas of two rectangles.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B9x%2B4 ALIGN=MIDDLE  ALT=\"2x%5E2%2B9x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B18x%2B81 ALIGN=MIDDLE  ALT=\"x%5E2%2B18x%2B81\"   DISABLED_style= \"max-width:90%; height:auto;\" >, their areas.\r<BR>\n" );
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document.write( "Which area is greater?\r<BR>\n" );
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document.write( "Could the areas be equal?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B9x%2B4-x%5E2-18x-81=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B9x%2B4-x%5E2-18x-81=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-9x-77=0 ALIGN=MIDDLE  ALT=\"x%5E2-9x-77=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Discriminant, 81+4*77=389, a POSITIVE prime number.\r<BR>\n" );
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document.write( "Could the areas be unequal?  Yes.  Which rectangle has greater area depends on x, which is still a variable.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C+-30%2C30%2C-30%2C30%2Cx%5E2-9x-77%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C+-30%2C30%2C-30%2C30%2Cx%5E2-9x-77%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "How much greater is one rectangle than the other?<BR>\n" );
document.write( "Again, this is variable, depending on x, as long as x is not either root in the \"equal\" equation.  The best you can give for how much greater is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%5E2-9x-77%29 ALIGN=MIDDLE  ALT=\"abs%28x%5E2-9x-77%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  For x between the roots, the first rectangle is of lesser area; for x outside the interval bounding the roots, the first rectangle is of greater area. </SPAN>\n" );
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