document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74628>Question 74628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This relates to unknown lenght & width of a rectangle with a known area:\r<BR>\n" );
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document.write( "How do I solve the equation? (How do I work out what formula to use?).<BR>\n" );
document.write( "Area = 352 sq.cm<BR>\n" );
document.write( "1 side = (X x 2)<BR>\n" );
document.write( "other side = (X + 9)\r<BR>\n" );
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document.write( "Iwant to show workings - rather than guessing at what X represents. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53602 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=53602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "YOUR PROBLEM IS NOT CLEAR.<BR>\n" );
document.write( "What does<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Xx2%29 ALIGN=MIDDLE  ALT=\"%28Xx2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >represent?  Is it <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%5E2 ALIGN=MIDDLE  ALT=\"X%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or is it <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X ALIGN=MIDDLE  ALT=\"2X\"   DISABLED_style= \"max-width:90%; height:auto;\" >?  I WILL ASSUME 2X\r<BR>\n" );
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document.write( "The area(A) of a rectangle equals Length(L) times Width(W)\r<BR>\n" );
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document.write( "Either 2X is the length and (X+9) is the width or visa versa--it makes no difference which we choose.  So our equation to solve is:\r<BR>\n" );
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document.write( "A=L*W\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=352=2x%28x%2B9%29 ALIGN=MIDDLE  ALT=\"352=2x%28x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > get rid of parens\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=352=2x%5E2%2B18x ALIGN=MIDDLE  ALT=\"352=2x%5E2%2B18x\"   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=176=x%5E2%2B9x ALIGN=MIDDLE  ALT=\"176=x%5E2%2B9x\"   DISABLED_style= \"max-width:90%; height:auto;\" >  subtract 176 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B9x-176=176-176 ALIGN=MIDDLE  ALT=\"x%5E2%2B9x-176=176-176\"   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=x%5E2%2B9x-176=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B9x-176=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  quadratic in standard form<BR>\n" );
document.write( "A=1<BR>\n" );
document.write( "B=9<BR>\n" );
document.write( "C=-176\r<BR>\n" );
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document.write( "We'll solve using the quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-9+%2B-+sqrt%28+9%5E2-4%2A1%2A%28-176%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-9+%2B-+sqrt%28+9%5E2-4%2A1%2A%28-176%29+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-9+%2B-+sqrt%28+81%2B704%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x+=+%28-9+%2B-+sqrt%28+81%2B704%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-9+%2B-+sqrt%28785%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x+=+%28-9+%2B-+sqrt%28785%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-9+%2B-+28.018%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x+=+%28-9+%2B-+28.018%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-9+%2B+28.018%29%2F%282%29=+9.509 ALIGN=MIDDLE  ALT=\"x+=+%28-9+%2B+28.018%29%2F%282%29=+9.509\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=2%2A9.509=19.018 ALIGN=MIDDLE  ALT=\"2x=2%2A9.509=19.018\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm------------------------------length<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B9%29=9.509%2B9=18.509 ALIGN=MIDDLE  ALT=\"%28x%2B9%29=9.509%2B9=18.509\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm-----------------------------width\r<BR>\n" );
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document.write( "We will discount the negative solution for x since lengths and widths are not negative numbers.\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "A=L*W\r<BR>\n" );
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document.write( "352 sq cm=(19.018)(18.509)<BR>\n" );
document.write( "352=~352\r<BR>\n" );
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document.write( "Hope this helps----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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