document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194682>Question 194682</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131808540/algebrahomeworkh>Florida Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this problem: A rectangle is 7 times as long as it is wide.  Its area is 1400cm^2.  Find the dimensions of the rectangle in simplest radical form.\r<BR>\n" );
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document.write( "I have been working on this problem for 30 minutes straight, and I can't find the way to work it out.  I tried to use this equaion to solve the problem (length=7w): <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1400=+2%287w%29+%2A+2w ALIGN=MIDDLE  ALT=\"1400=+2%287w%29+%2A+2w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I didn't work. 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 #146059 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=146059\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm not sure how you got what you have, but I think you're confusing the area and perimeter formulas.\r<BR>\n" );
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document.write( "Since \"A rectangle is 7 times as long as it is wide\", this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=7W ALIGN=MIDDLE  ALT=\"L=7W\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Also, because \"Its area is 1400cm^2\", we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=1400 ALIGN=MIDDLE  ALT=\"A=1400\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Recall, the area of a rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=LW ALIGN=MIDDLE  ALT=\"A=LW\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=LW ALIGN=MIDDLE  ALT=\"A=LW\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the area of a rectangle formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1400=7W%2AW ALIGN=MIDDLE  ALT=\"1400=7W%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=7W ALIGN=MIDDLE  ALT=\"L=7W\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=1400 ALIGN=MIDDLE  ALT=\"A=1400\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1400=7W%5E2 ALIGN=MIDDLE  ALT=\"1400=7W%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1400%2F7=W%5E2 ALIGN=MIDDLE  ALT=\"1400%2F7=W%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 7 \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200=W%5E2 ALIGN=MIDDLE  ALT=\"200=W%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2=200 ALIGN=MIDDLE  ALT=\"W%5E2=200\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=sqrt%28200%29 ALIGN=MIDDLE  ALT=\"W=sqrt%28200%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides. Note: we're only considering the positive square root.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=sqrt%28100%2A2%29 ALIGN=MIDDLE  ALT=\"W=sqrt%28100%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor 200 to get 100*2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=sqrt%28100%29%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"W=sqrt%28100%29%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the square root.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=10%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"W=10%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of 100 to get 10\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=7W ALIGN=MIDDLE  ALT=\"L=7W\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the first equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=7%2A10%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"L=7%2A10%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=10%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"W=10%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=70%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"L=70%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So the length is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"70%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm and the width is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"10%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm </SPAN>\n" );
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