document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186558>Question 186558</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Translate the following into a quadratic equation, and solve it:  The length of a rectangular garden is four times its width; if the area of the garden is 196 square meters, what are its dimensions? \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139814 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=139814\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with the formula for the area of a rectangle:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+L%2AW ALIGN=MIDDLE  ALT=\"A+=+L%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+4%2AW ALIGN=MIDDLE  ALT=\"L+=+4%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" > \"The length is four times the width.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+4%2AW%2AW ALIGN=MIDDLE  ALT=\"A+=+4%2AW%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute A = 196 \"The area is 196 sq. meters.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4W%5E2+=+196 ALIGN=MIDDLE  ALT=\"4W%5E2+=+196\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 196 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4w%5E2-196+=+0 ALIGN=MIDDLE  ALT=\"4w%5E2-196+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2-49+=+0 ALIGN=MIDDLE  ALT=\"W%5E2-49+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is the quadratic equation which can be solved by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W-7%29%28W%2B7%29+=+0 ALIGN=MIDDLE  ALT=\"%28W-7%29%28W%2B7%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so that...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+7 ALIGN=MIDDLE  ALT=\"W+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+-7 ALIGN=MIDDLE  ALT=\"W+=+-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Discard the negative solution as the width is a  positive quantity.<BR>\n" );
document.write( "The width is 7 meters and the length is 4*7 = 28 meters. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );