document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038871>Question 1038871</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Thanks in advance. Please answer my question please :)<BR>\n" );
document.write( "the area of a rectangle is 85cm². Express the perimeter of the rectangle as a function of  width (x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #653592 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=653592\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's set up our length and width variables\r<BR>\n" );
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document.write( "L = length<BR>\n" );
document.write( "W = width\r<BR>\n" );
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document.write( "The area of any rectangle is \r<BR>\n" );
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document.write( "area = length*width<BR>\n" );
document.write( "A = L*W\r<BR>\n" );
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document.write( "Since we're told that the width is x, this means W = x\r<BR>\n" );
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document.write( "A = L*W<BR>\n" );
document.write( "A = L*x\r<BR>\n" );
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document.write( "Now divide both sides by x to isolate L\r<BR>\n" );
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document.write( "A = L*x<BR>\n" );
document.write( "A/x = L*x/x<BR>\n" );
document.write( "L = A/x\r<BR>\n" );
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document.write( "-------------------------------------\r<BR>\n" );
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document.write( "The width and length are<BR>\n" );
document.write( "W = x<BR>\n" );
document.write( "L = A/x\r<BR>\n" );
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document.write( "but we know that the area is 85 square cm, so A = 85\r<BR>\n" );
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document.write( "so,<BR>\n" );
document.write( "W = x<BR>\n" );
document.write( "L = 85/x\r<BR>\n" );
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document.write( "--------------------------------------\r<BR>\n" );
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document.write( "We use these two expressions to find the perimeter P\r<BR>\n" );
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document.write( "P = 2*L + 2*W<BR>\n" );
document.write( "P = 2*(85/x) + 2*x<BR>\n" );
document.write( "P = 170/x + 2x<BR>\n" );
document.write( "P = 170/x + (2x^2)/x<BR>\n" );
document.write( "P = (170 + 2x^2)/x\r<BR>\n" );
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document.write( "So the perimeter is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=%28170+%2B+2x%5E2%29%2Fx ALIGN=MIDDLE  ALT=\"P%28x%29=%28170+%2B+2x%5E2%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > where x is the width.  </SPAN>\n" );
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