document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209727>Question 209727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> area of a rectangle is 243 m2. The height is nine less than 4 times the base. What is the perimeter? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162261 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162261\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> area of a rectangle is 243 m2. The height is nine less than 4 times the base. What is the perimeter?\r<BR>\n" );
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document.write( "Let base of rectangle be B\r<BR>\n" );
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document.write( "Since the height is nine less than 4 times the base, then the height is 4B - 9\r<BR>\n" );
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document.write( "Since its area = 243m^2, we will have: B(4B - 9) = 243\r<BR>\n" );
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document.write( "B(4B - 9) - 243 = 0\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4B%5E2+-+9B+-+243+=+0 ALIGN=MIDDLE  ALT=\"4B%5E2+-+9B+-+243+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "(4B + 27)(B - 9) = 0\r<BR>\n" );
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document.write( "Therefore, 4B = - 27, or, B = 9\r<BR>\n" );
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document.write( "We will ignore the negative value as measuremnets CANNOT be negative\r<BR>\n" );
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document.write( "This means that B, or base = 9 meters\r<BR>\n" );
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document.write( "Now, since base = 9 meters, then height = 4(9) - 9, or, 27\r<BR>\n" );
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document.write( "Since base = 9 meters, and height = 27 meters, then perimeter = 2B + 2H ------> 2(9) + 2(27) ------> 18 + 54 = (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2872%29 ALIGN=MIDDLE  ALT=\"highlight_green%2872%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > meters. </SPAN>\n" );
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