document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42977>Question 42977</A>: <I><SPAN STYLE=\"word-break: break-all;\">      Susan has 2500 feet of fence and wishes to enclose a rectangular area. Which of the following correctly expresses the area A of the rectangle as a function of the length x of the rectangle?\r<BR>\n" );
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document.write( "  a. A(x) = 625x - x^2    <BR>\n" );
document.write( "  b. A(x) = 1000x - x^2    <BR>\n" );
document.write( "  c. A(x) = 1250x - x^2    <BR>\n" );
document.write( "  d. A(x) = 2500x - x^2    <BR>\n" );
document.write( "  e. None of the others    <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28129 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=28129\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let, length = x feet and width = y feet.\r<BR>\n" );
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document.write( "Length of fence available = Perimeter of the rectangle\r<BR>\n" );
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document.write( "So, 2500 = 2(Length + Width)<BR>\n" );
document.write( "or 2500 = 2(x + y)<BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2500%2F2+=+%28x+%2B+y%29 ALIGN=MIDDLE  ALT=\"2500%2F2+=+%28x+%2B+y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or x + y = 1250<BR>\n" );
document.write( "or y = 1250 - x\r<BR>\n" );
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document.write( "Thus width is (1250 - x) feet.\r<BR>\n" );
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document.write( "Now, area is given by<BR>\n" );
document.write( "A = Length x Width<BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+x%2A%281250+-+x%29 ALIGN=MIDDLE  ALT=\"A+=+x%2A%281250+-+x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+1250x+-+x%5E2 ALIGN=MIDDLE  ALT=\"A+=+1250x+-+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hence, option (c) is correct. </SPAN>\n" );
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