document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60812>Question 60812</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 78cm^2, find the dimensions of the rectangle to the nearest thousandth.<BR>\n" );
document.write( "Thanks in advance for your WONDERFUL help!<BR>\n" );
document.write( "ac </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41775 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=41775\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi ac,<BR>\n" );
document.write( "The length of a rectangle is 5 cm more than 2 times its width.  If the area of the rectangle is 78cm^2, find the dimensions of the rectangle to the nearest thousandth.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the width be: x<BR>\n" );
document.write( "Then the length is: 2x+5<BR>\n" );
document.write( "Area is: 78 cm^2<BR>\n" );
document.write( "Area=length*width<BR>\n" );
document.write( ":<BR>\n" );
document.write( "78=x(2x+5)<BR>\n" );
document.write( "78=2x^2+5x<BR>\n" );
document.write( "0=2x^2+5x-78<BR>\n" );
document.write( "This is in standard form:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can use the quadratic formula to solve it:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=2, b=5, and c=-78<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-5%2B-sqrt%285%5E2-4%282%29%28-78%29%29%29%2F%282%282%29%29 ALIGN=MIDDLE  ALT=\"x=%28-5%2B-sqrt%285%5E2-4%282%29%28-78%29%29%29%2F%282%282%29%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=%28-5%2B-sqrt%2825%2B624%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%28-5%2B-sqrt%2825%2B624%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-5%2B-sqrt%28649%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%28-5%2B-sqrt%28649%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can ignore the negative dimension.<BR>\n" );
document.write( "x=5.119<BR>\n" );
document.write( "The width is: x=5.119 cm<BR>\n" );
document.write( "Length is:2x+5=2(5.119)+5=15.238 cm<BR>\n" );
document.write( "Happy Calculating!!!  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );