document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68680>Question 68680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the area of this rectangle is 105cm2 then the length is ____cm, the width is ____ cm, and the perimeter is ____cm. The width of the rectangle is (x) and the length is (2x+1). This is all the information the problem gives me. The problem was given to me on a study guide along with the answer key. The length is 15cm, and the width is 7 but I dont understand how they came about this answer. Can you please help me?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48877 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=48877\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Starting 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;\" > which is given as 105 sq.cm., you can substitute x for W and (2x+1) for L to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B1%29%28x%29+=+105 ALIGN=MIDDLE  ALT=\"%282x%2B1%29%28x%29+=+105\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2Bx+=+105 ALIGN=MIDDLE  ALT=\"2x%5E2%2Bx+=+105\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 105 from both sides of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2Bx-105+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2%2Bx-105+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor this quadratic equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B15%29%28x-7%29+=+0 ALIGN=MIDDLE  ALT=\"%282x%2B15%29%28x-7%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero product principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B15+=+0 ALIGN=MIDDLE  ALT=\"2x%2B15+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-7+=+0 ALIGN=MIDDLE  ALT=\"x-7+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > from which you get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B15+=+0 ALIGN=MIDDLE  ALT=\"2x%2B15+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 15 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+-15 ALIGN=MIDDLE  ALT=\"2x+=+-15\"   DISABLED_style= \"max-width:90%; height:auto;\" >} Divide both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-%287.5%29 ALIGN=MIDDLE  ALT=\"x+=+-%287.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Discard this negative solution as the width must be a positive value.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-7+=+0 ALIGN=MIDDLE  ALT=\"x-7+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+7 ALIGN=MIDDLE  ALT=\"x+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The width is 7 cm.<BR>\n" );
document.write( "The length is 2x+1 = 2(7)+1 = 15 cm.<BR>\n" );
document.write( "The perimeter is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+2L+%2B+2W ALIGN=MIDDLE  ALT=\"P+=+2L+%2B+2W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+2%2815%29%2B2%287%29 ALIGN=MIDDLE  ALT=\"P+=+2%2815%29%2B2%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+30%2B14 ALIGN=MIDDLE  ALT=\"P+=+30%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+44 ALIGN=MIDDLE  ALT=\"P+=+44\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm.<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );