document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74859>Question 74859</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 5 cm more than 2 times its width.  If the area of the rectangle is 75 cm2, find the dimensions of the rectangle to the nearest thousandth. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53783 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=53783\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the width = x cm. <BR>\n" );
document.write( "Two times width = 2x cm.<BR>\n" );
document.write( "5cm more than this value = (2x + 5) cm<BR>\n" );
document.write( "So, the length = (2x + 5) cm.\r<BR>\n" );
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document.write( "Hence area = Length X Width = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+%2B+5%29x+=+2x%5E2+%2B+5x ALIGN=MIDDLE  ALT=\"%282x+%2B+5%29x+=+2x%5E2+%2B+5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E2 ALIGN=MIDDLE  ALT=\"cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "But, according to the problem this area is 75 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E2 ALIGN=MIDDLE  ALT=\"cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+5x+=+75 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+5x+=+75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+5x+-+75+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+5x+-+75+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+15x+-+10x+-+75+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+15x+-+10x+-+75+=+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%282x+%2B+15%29+-+5%282x+%2B+15%29+=+0 ALIGN=MIDDLE  ALT=\"x%282x+%2B+15%29+-+5%282x+%2B+15%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%282x%2B15%29=0 ALIGN=MIDDLE  ALT=\"%28x-5%29%282x%2B15%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So either (x-5) = 0 or (2x+15) = 0<BR>\n" );
document.write( "i.e. either x = 5 or x = -7.5\r<BR>\n" );
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document.write( "But width of a rectangle (x) cannot be negative.<BR>\n" );
document.write( "So negative answer is discarded.<BR>\n" );
document.write( "Hence x = 5.\r<BR>\n" );
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document.write( "So the width = 5 cm and length = 2x5 + 5 = 15 cm. </SPAN>\n" );
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