document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=596724>Question 596724</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi!! I need help with a problem:<BR>\n" );
document.write( "The lenght  of a rectangle is 7 feet more than its width and the area is 120 square feet. Find the dimensions of the rectangle. I have no clue how to solve it. <BR>\n" );
document.write( "Thank you, <BR>\n" );
document.write( "I appreciate your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378008 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=378008\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The way you are expected to solve the problem depends on what you have been studying in your class.<BR>\n" );
document.write( " <BR>\n" );
document.write( "USING ALGEBRA (quadratic equations):<BR>\n" );
document.write( "Let the width of the rectangle (in feet) be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The length (in feet) is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B7 ALIGN=MIDDLE  ALT=\"x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B7%29=120 ALIGN=MIDDLE  ALT=\"x%28x%2B7%29=120\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B7x=120 ALIGN=MIDDLE  ALT=\"x%5E2%2B7x=120\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B7x-120=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B7x-120=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving (by factoring or using the quadratic formula), we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8 ALIGN=MIDDLE  ALT=\"x=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-15 ALIGN=MIDDLE  ALT=\"x=-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since the width must be a positive number, the width is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%288%29 ALIGN=MIDDLE  ALT=\"highlight%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  feet,<BR>\n" );
document.write( "and the length (in feet) is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2B7=15 ALIGN=MIDDLE  ALT=\"8%2B7=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "USING FACTORS OF 120 (if studying divisibility and prime factors):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120=2%5E3%2A3%2A5 ALIGN=MIDDLE  ALT=\"120=2%5E3%2A3%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" > so it must have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2B1%29%281%2B1%29%281%2B1%29=4%2A2%2A2=16 ALIGN=MIDDLE  ALT=\"%283%2B1%29%281%2B1%29%281%2B1%29=4%2A2%2A2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors, including 1 and 120.<BR>\n" );
document.write( "Those factors come in pairs that multiplied equal 120.<BR>\n" );
document.write( "We just need to find the pair of factors that differ by 7.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120=1%2A120 ALIGN=MIDDLE  ALT=\"120=1%2A120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120=2%2A60 ALIGN=MIDDLE  ALT=\"120=2%2A60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120=3%2A40 ALIGN=MIDDLE  ALT=\"120=3%2A40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120=4%2A30 ALIGN=MIDDLE  ALT=\"120=4%2A30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120=5%2A24 ALIGN=MIDDLE  ALT=\"120=5%2A24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120=6%2A20 ALIGN=MIDDLE  ALT=\"120=6%2A20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120=8%2A15 ALIGN=MIDDLE  ALT=\"120=8%2A15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So far I have listed 7 pairs of factors (14 factors).<BR>\n" );
document.write( "There is one more pair, but<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15-8=7 ALIGN=MIDDLE  ALT=\"15-8=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so I do not need to go on.<BR>\n" );
document.write( "The rectangle is 8 feet wide by 15 feet long. </SPAN>\n" );
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