document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172425>Question 172425</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELP!!\r<BR>\n" );
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document.write( "The length of a rectangle is 4 cm more than 3 times its width.  If the area of the rectangle is 95 cm2, find the dimensions of the rectangle to the nearest thousandth.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127333 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=127333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:\r<BR>\n" );
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document.write( "The length of a rectangle is 4 cm more than 3 times its width.  If the area of the rectangle is 95 cm2, find the dimensions of the rectangle to the nearest thousandth.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "Area of a rectangle is given by the formula,\r<BR>\n" );
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document.write( "A = length * width\r<BR>\n" );
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document.write( "Given, A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+95+cm%5E2 ALIGN=MIDDLE  ALT=\"+95+cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "length = 4 cm more than 3 times its width\r<BR>\n" );
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document.write( "Let us assume that width = x cm\r<BR>\n" );
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document.write( "==> length = 3x + 4 (because, length = 4 cm more than 3 times its width)\r<BR>\n" );
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document.write( "so... area = length * width  = (3x + 4) * x\r<BR>\n" );
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document.write( " 95 = (3x + 4) * x\r<BR>\n" );
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document.write( "==> 95 = 3x*x  + 4* x\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+95+=+3x%5E2+%2B+4x+ ALIGN=MIDDLE  ALT=\"+95+=+3x%5E2+%2B+4x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x%5E2+%2B+4x+-+95+=+0 ALIGN=MIDDLE  ALT=\"+3x%5E2+%2B+4x+-+95+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this is a quadratic equation, you can solve it using quadratic formula\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-4+%2B-+sqrt%28+%28-4%29%5E2-4%2A3%2A%28-95%29+%29%29%2F%282%2A3%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-+sqrt%28+%28-4%29%5E2-4%2A3%2A%28-95%29+%29%29%2F%282%2A3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-4+%2B-+sqrt%28+16+%2B+1140+%29%29%2F%286%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-+sqrt%28+16+%2B+1140+%29%29%2F%286%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-4+%2B-+sqrt%28+1156+%29%29%2F%286%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-+sqrt%28+1156+%29%29%2F%286%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-4+%2B-+34%29%2F%286%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-+34%29%2F%286%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-4+%2B+34%29%2F%286%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B+34%29%2F%286%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-4+-+34%29%2F%286%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-4+-+34%29%2F%286%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2830%29%2F%286%29+ ALIGN=MIDDLE  ALT=\"x+=+%2830%29%2F%286%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-38%29%2F%286%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-38%29%2F%286%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5+ ALIGN=MIDDLE  ALT=\"x+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-6.333+ ALIGN=MIDDLE  ALT=\"x+=+-6.333+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "here u can take the value x= 5 since negative value cant be a length measure\r<BR>\n" );
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document.write( "so width = 5 cm\r<BR>\n" );
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document.write( "and length = 3*5 + 4 = 15 + 4 = 19\r<BR>\n" );
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document.write( "so the dimensions are 19 cm and 5cm\r<BR>\n" );
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document.write( "hence the answer.\r<BR>\n" );
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document.write( "hope u found it useful.\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "Praseena\r<BR>\n" );
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