document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119183>Question 119183</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618371826/algebrahomeworkh>Geometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The area of a rectangle is 108 cm^2.  the ratio of the width to the length is 3:4.  Find the length and the width. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87317 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=87317\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the ratio of width to length is 3:4, then we can say that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2Fl=3%2F4 ALIGN=MIDDLE  ALT=\"w%2Fl=3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Cross-multiplying gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3l=4w ALIGN=MIDDLE  ALT=\"3l=4w\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=4w%2F3 ALIGN=MIDDLE  ALT=\"l=4w%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The area of a rectangle is given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=lw ALIGN=MIDDLE  ALT=\"A=lw\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  We know that the area is 108 square centimeters, so we can say:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lw=108 ALIGN=MIDDLE  ALT=\"lw=108\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now we can substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4w%2F3 ALIGN=MIDDLE  ALT=\"4w%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l ALIGN=MIDDLE  ALT=\"l\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284w%2F3%29w=108 ALIGN=MIDDLE  ALT=\"%284w%2F3%29w=108\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29w%5E2=108 ALIGN=MIDDLE  ALT=\"%284%2F3%29w%5E2=108\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Multiply by 3/4:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2=81 ALIGN=MIDDLE  ALT=\"w%5E2=81\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=9 ALIGN=MIDDLE  ALT=\"w=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (actually, w = plus or minus 9, but we can exclude the -9 result because we are looking for a positive number length measurement)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=%284%2F3%29%289%29=12 ALIGN=MIDDLE  ALT=\"l=%284%2F3%29%289%29=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the width is 9 and the length is 12. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );