document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=986480>Question 986480</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the side length and width of a rectangle if the area is 200ft and the perimeter is 100ft </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #607244 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=607244\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "This problem cannot be solved as written because area is not measured in feet, in other words the statement \"the area is 200 ft\" is nonsense.  I'm going to go out on a limb and make the assumption that you meant \"the area is 200 <i><b>square</b></i> feet\".  Don't roll your eyes and say \"Whatever\"; details like this do make a difference.\r<BR>\n" );
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document.write( "The length plus the width of a rectangle is equal to one-half of the perimeter.  Since the perimeter is 100 feet, the sum of the measures of the sides of the rectangle must be 50 feet.  Hence:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ l\ =\ 50\ -\ w\ \ \ \ (1)\">\r<BR>\n" );
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document.write( "The area is the length times the width, so\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ A(l,w)\ =\ lw\ \ \ \ (2)\">\r<BR>\n" );
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document.write( "But we can substitute from Equation (1) into Equation (2) to get an expression for the area as a function of the width:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ A(w)\ =\ -w^2\ +\ 50w\">\r<BR>\n" );
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document.write( "Since we know that the area is equal to <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 200\ ft^2\">, we can write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ -w^2\ +\ 50w\ -\ 200\ =\ 0\">\r<BR>\n" );
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document.write( "Solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large w\"> and then calculate <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large l\ =\ 50\ -\ w\">\r<BR>\n" );
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document.write( "Hint:  The quadratic does not factor, so you need to use the quadratic formula.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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