document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=275915>Question 275915</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 2 cm more than three times the width. Find the dimensions of this rectangle if the area is 21 cm^2.\r<BR>\n" );
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document.write( "I found the answer by trial and error (9 & 2 1/3) but I need to know how to actually figure it out and show work. Is there another way besides just plugging in numbers? Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #201184 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=201184\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 2 cm more than three times the width.<BR>\n" );
document.write( " Find the dimensions of this rectangle if the area is 21 cm^2. <BR>\n" );
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document.write( "There is, and it's pretty easy<BR>\n" );
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document.write( "Write an equation for each statement<BR>\n" );
document.write( "\"The length of a rectangle is 2 cm more than three times the width.\"<BR>\n" );
document.write( "L = 3W + 2<BR>\n" );
document.write( "and<BR>\n" );
document.write( "\" the area is 21 cm^2. \"<BR>\n" );
document.write( "L * W = 21<BR>\n" );
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document.write( "Replace L with (3W+2) from the 1st statement<BR>\n" );
document.write( "(3W + 2) * W = 21<BR>\n" );
document.write( "3W^2 + 2W - 21 = 0<BR>\n" );
document.write( "A quadratic equation we can factor<BR>\n" );
document.write( "(3W - 7)(W + 3) = 0<BR>\n" );
document.write( "The positive solution<BR>\n" );
document.write( "3W = 7<BR>\n" );
document.write( "W = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F3 ALIGN=MIDDLE  ALT=\"7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "W = 2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the width<BR>\n" );
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document.write( "Find the length using L = 3W + 2<BR>\n" );
document.write( "L = 3(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F3 ALIGN=MIDDLE  ALT=\"7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) + 2<BR>\n" );
document.write( "L = 7 + 2<BR>\n" );
document.write( "L = 9<BR>\n" );
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document.write( "Check solutions by finding the area<BR>\n" );
document.write( "9 * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F3 ALIGN=MIDDLE  ALT=\"7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 21<BR>\n" );
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