document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=440478>Question 440478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle with an area pf 80cm^2 has a width that is three more than one half its length. What is the width of the rectangle?\r<BR>\n" );
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document.write( "I know that W=L1/2+3 and then I just got lost not having either the width or length.\r<BR>\n" );
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document.write( "Thank you for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #304307 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=304307\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangle with an area pf 80cm^2 has a width that is three more than one half its length.<BR>\n" );
document.write( " What is the width of the rectangle?<BR>\n" );
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document.write( "The area equation<BR>\n" );
document.write( "L*W = 80<BR>\n" );
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document.write( "We know that: W = (.5L+3)<BR>\n" );
document.write( "Use this to replace W in the area equation<BR>\n" );
document.write( "L(.5L+3) = 80<BR>\n" );
document.write( ".5L^2 + 3L = 80<BR>\n" );
document.write( "Get rid of that decimal, multiply by 2. results:<BR>\n" );
document.write( "L^2 + 6L = 160<BR>\n" );
document.write( "A quadratic equation:<BR>\n" );
document.write( "L^2 + 6L - 160 = 0<BR>\n" );
document.write( "This will factor to:<BR>\n" );
document.write( "(L+16)(L-10) = 0<BR>\n" );
document.write( "Two solutions, but we only want the positive one<BR>\n" );
document.write( "L = 10 cm<BR>\n" );
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document.write( "Find W, from the statement,\"width that is three more than one half its length.\"<BR>\n" );
document.write( "W = .5(10) + 3<BR>\n" );
document.write( "W = 5 + 3<BR>\n" );
document.write( "W = 8 cm is the width<BR>\n" );
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document.write( "Confirm this by finding the area with these values: 10 * 8 = 80 </SPAN>\n" );
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