document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35900>Question 35900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Translate the following into a quadratic equation, and solve it: <BR>\n" );
document.write( "The length of a rectangular garden is three times its width; if the area of the garden is 75 square meters, what are its dimensions?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21977 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=21977\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with the formula for the area of a rectangle:<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;\" ><BR>\n" );
document.write( "In your problem, L = 3W...substitute this into the basic formula.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%283W%29%2AW ALIGN=MIDDLE  ALT=\"A+=+%283W%29%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+3W%5E2 ALIGN=MIDDLE  ALT=\"A+=+3W%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > But the area (A) is given as 75 square meters.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75+=+3W%5E2 ALIGN=MIDDLE  ALT=\"75+=+3W%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 75 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3W%5E2-75+=+0 ALIGN=MIDDLE  ALT=\"3W%5E2-75+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > There's the quadratic equation.<BR>\n" );
document.write( "To solve, factor out a 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28W%5E2-25%29+=+0 ALIGN=MIDDLE  ALT=\"3%28W%5E2-25%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >Apply the zero products principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2-25+=+0 ALIGN=MIDDLE  ALT=\"W%5E2-25+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W-5%29%28W%2B5%29+=+0 ALIGN=MIDDLE  ALT=\"%28W-5%29%28W%2B5%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero products principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W-5+=+0 ALIGN=MIDDLE  ALT=\"W-5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%2B5+=+0 ALIGN=MIDDLE  ALT=\"W%2B5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W-5+=+0 ALIGN=MIDDLE  ALT=\"W-5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+5 ALIGN=MIDDLE  ALT=\"W+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is an acceptable solution since W is positive.<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%2B5+=+0 ALIGN=MIDDLE  ALT=\"W%2B5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+-5 ALIGN=MIDDLE  ALT=\"W+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is not meaningful as the width, W, must be a positive value.\r<BR>\n" );
document.write( "\n" );
document.write( "The width (W) is 5 meters.<BR>\n" );
document.write( "The length (L) is 3W = 3(5) = 15 meters. </SPAN>\n" );
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