document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129109>Question 129109</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of a rectangle is 154 sq. Ft. If its width is 3 ft. less than its length what are its dimensions? I need to use a quadratic formula to solve it.\r<BR>\n" );
document.write( "\n" );
document.write( "ty<BR>\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 #94390 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=94390\">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;\" ><BR>\n" );
document.write( "You are told that the width, W is 3 ft. less than the length, L, so this can be written as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+L-3 ALIGN=MIDDLE  ALT=\"W+=+L-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > so now you can replace W with (L-3) and write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+L%2A%28L-3%29 ALIGN=MIDDLE  ALT=\"A+=+L%2A%28L-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you are also told that the area is 154 sq.ft., so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2A%28L-3%29+=+154 ALIGN=MIDDLE  ALT=\"L%2A%28L-3%29+=+154\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2-3L+=+154 ALIGN=MIDDLE  ALT=\"L%5E2-3L+=+154\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 154 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2-3L-154+=+0 ALIGN=MIDDLE  ALT=\"L%5E2-3L-154+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > There's your quadratic equation and it can be solve by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28L-14%29%28L%2B11%29+=+0 ALIGN=MIDDLE  ALT=\"%28L-14%29%28L%2B11%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Applying the zero products principle, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L-14+=+0 ALIGN=MIDDLE  ALT=\"L-14+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2B11+=+0 ALIGN=MIDDLE  ALT=\"L%2B11+=+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=L+=+14 ALIGN=MIDDLE  ALT=\"L+=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+-11 ALIGN=MIDDLE  ALT=\"L+=+-11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use only the positive value as lengths are positive quantities.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+14 ALIGN=MIDDLE  ALT=\"L+=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" > and...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+L-3 ALIGN=MIDDLE  ALT=\"W+=+L-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+14-3 ALIGN=MIDDLE  ALT=\"W+=+14-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+11 ALIGN=MIDDLE  ALT=\"W+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The dimensions of the rectangle are:<BR>\n" );
document.write( "Length = 14 ft. and width = 11 ft.<BR>\n" );
document.write( "Check:<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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+14%2A11 ALIGN=MIDDLE  ALT=\"A+=+14%2A11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+154 ALIGN=MIDDLE  ALT=\"A+=+154\"   DISABLED_style= \"max-width:90%; height:auto;\" >sq.ft. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );